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Finding the Fourth Proportional to 23,281, 32,134.55 and 15,215.83

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Solution

The fourth proportional to 23,281, 32,134.55 and 15,215.83 is: 21,002.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,281 : 32,134.55 = 15,215.83 : x
  2. Step 2: Convert to fraction form
    23,281/32,134.55 = 15,215.83/x
  3. Step 3: Cross multiply
    23,281x = 32,134.55 × 15,215.83
  4. Step 4: Simplify right side
    23,281x = 488,953,849.93
  5. Step 5: Solve for x
    x = 488,953,849.93/23,281
  6. Step 6: Final answer
    x = 21,002.27

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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.