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Finding the Fourth Proportional to 27,830.65, 38,404.92 and 15,730.87

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Solution

The fourth proportional to 27,830.65, 38,404.92 and 15,730.87 is: 21,707.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,830.65 : 38,404.92 = 15,730.87 : x
  2. Step 2: Convert to fraction form
    27,830.65/38,404.92 = 15,730.87/x
  3. Step 3: Cross multiply
    27,830.65x = 38,404.92 × 15,730.87
  4. Step 4: Simplify right side
    27,830.65x = 604,142,803.88
  5. Step 5: Solve for x
    x = 604,142,803.88/27,830.65
  6. Step 6: Final answer
    x = 21,707.82

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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.