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Finding the Fourth Proportional to 27,066.72, 37,358.10 and 16,454.10

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Solution

The fourth proportional to 27,066.72, 37,358.10 and 16,454.10 is: 22,710.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,066.72 : 37,358.10 = 16,454.10 : x
  2. Step 2: Convert to fraction form
    27,066.72/37,358.10 = 16,454.10/x
  3. Step 3: Cross multiply
    27,066.72x = 37,358.10 × 16,454.10
  4. Step 4: Simplify right side
    27,066.72x = 614,693,913.21
  5. Step 5: Solve for x
    x = 614,693,913.21/27,066.72
  6. Step 6: Final answer
    x = 22,710.32

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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.