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Finding the Fourth Proportional to 24,102.84, 33,264 and 13,492.32

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Solution

The fourth proportional to 24,102.84, 33,264 and 13,492.32 is: 18,620.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,102.84 : 33,264 = 13,492.32 : x
  2. Step 2: Convert to fraction form
    24,102.84/33,264 = 13,492.32/x
  3. Step 3: Cross multiply
    24,102.84x = 33,264 × 13,492.32
  4. Step 4: Simplify right side
    24,102.84x = 448,808,532.48
  5. Step 5: Solve for x
    x = 448,808,532.48/24,102.84
  6. Step 6: Final answer
    x = 18,620.57

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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.