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Finding the Fourth Proportional to 24,492.51, 33,807.24 and 14,420.16

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Solution

The fourth proportional to 24,492.51, 33,807.24 and 14,420.16 is: 19,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,492.51 : 33,807.24 = 14,420.16 : x
  2. Step 2: Convert to fraction form
    24,492.51/33,807.24 = 14,420.16/x
  3. Step 3: Cross multiply
    24,492.51x = 33,807.24 × 14,420.16
  4. Step 4: Simplify right side
    24,492.51x = 487,505,809.96
  5. Step 5: Solve for x
    x = 487,505,809.96/24,492.51
  6. Step 6: Final answer
    x = 19,904.28

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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.