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Finding the Fourth Proportional to 27,957.65, 38,565.15 and 17,882.40

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Solution

The fourth proportional to 27,957.65, 38,565.15 and 17,882.40 is: 24,667.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,957.65 : 38,565.15 = 17,882.40 : x
  2. Step 2: Convert to fraction form
    27,957.65/38,565.15 = 17,882.40/x
  3. Step 3: Cross multiply
    27,957.65x = 38,565.15 × 17,882.40
  4. Step 4: Simplify right side
    27,957.65x = 689,637,438.36
  5. Step 5: Solve for x
    x = 689,637,438.36/27,957.65
  6. Step 6: Final answer
    x = 24,667.22

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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.