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Finding the Fourth Proportional to 10,059.30, 15,029.40 and 9,714.78

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Solution

The fourth proportional to 10,059.30, 15,029.40 and 9,714.78 is: 14,514.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,059.30 : 15,029.40 = 9,714.78 : x
  2. Step 2: Convert to fraction form
    10,059.30/15,029.40 = 9,714.78/x
  3. Step 3: Cross multiply
    10,059.30x = 15,029.40 × 9,714.78
  4. Step 4: Simplify right side
    10,059.30x = 146,007,314.53
  5. Step 5: Solve for x
    x = 146,007,314.53/10,059.30
  6. Step 6: Final answer
    x = 14,514.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.