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Finding the Fourth Proportional to 27,488.40, 37,934.16 and 14,913.20

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Solution

The fourth proportional to 27,488.40, 37,934.16 and 14,913.20 is: 20,580.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,488.40 : 37,934.16 = 14,913.20 : x
  2. Step 2: Convert to fraction form
    27,488.40/37,934.16 = 14,913.20/x
  3. Step 3: Cross multiply
    27,488.40x = 37,934.16 × 14,913.20
  4. Step 4: Simplify right side
    27,488.40x = 565,719,714.91
  5. Step 5: Solve for x
    x = 565,719,714.91/27,488.40
  6. Step 6: Final answer
    x = 20,580.31

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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.