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Finding the Fourth Proportional to 24,492.32, 33,798.24 and 13,314.32

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Solution

The fourth proportional to 24,492.32, 33,798.24 and 13,314.32 is: 18,373.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492.32 : 33,798.24 = 13,314.32 : x
  2. Step 2: Convert to fraction form
    24,492.32/33,798.24 = 13,314.32/x
  3. Step 3: Cross multiply
    24,492.32x = 33,798.24 × 13,314.32
  4. Step 4: Simplify right side
    24,492.32x = 450,000,582.80
  5. Step 5: Solve for x
    x = 450,000,582.80/24,492.32
  6. Step 6: Final answer
    x = 18,373.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.