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Finding the Fourth Proportional to 23,142, 34,714.62 and 9,291

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Solution

The fourth proportional to 23,142, 34,714.62 and 9,291 is: 13,937.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142 : 34,714.62 = 9,291 : x
  2. Step 2: Convert to fraction form
    23,142/34,714.62 = 9,291/x
  3. Step 3: Cross multiply
    23,142x = 34,714.62 × 9,291
  4. Step 4: Simplify right side
    23,142x = 322,533,534.42
  5. Step 5: Solve for x
    x = 322,533,534.42/23,142
  6. Step 6: Final answer
    x = 13,937.15

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.