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Finding the Fourth Proportional to 27,730, 38,267.52 and 15,154.72

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Solution

The fourth proportional to 27,730, 38,267.52 and 15,154.72 is: 20,913.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,730 : 38,267.52 = 15,154.72 : x
  2. Step 2: Convert to fraction form
    27,730/38,267.52 = 15,154.72/x
  3. Step 3: Cross multiply
    27,730x = 38,267.52 × 15,154.72
  4. Step 4: Simplify right side
    27,730x = 579,933,550.69
  5. Step 5: Solve for x
    x = 579,933,550.69/27,730
  6. Step 6: Final answer
    x = 20,913.58

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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.