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Finding the Fourth Proportional to 29,547.28, 40,774.24 and 16,118.16

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Solution

The fourth proportional to 29,547.28, 40,774.24 and 16,118.16 is: 22,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,547.28 : 40,774.24 = 16,118.16 : x
  2. Step 2: Convert to fraction form
    29,547.28/40,774.24 = 16,118.16/x
  3. Step 3: Cross multiply
    29,547.28x = 40,774.24 × 16,118.16
  4. Step 4: Simplify right side
    29,547.28x = 657,205,724.20
  5. Step 5: Solve for x
    x = 657,205,724.20/29,547.28
  6. Step 6: Final answer
    x = 22,242.51

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