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Finding the Fourth Proportional to 10,024.58, 15,032.14 and 3,001.88

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Solution

The fourth proportional to 10,024.58, 15,032.14 and 3,001.88 is: 4,501.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,024.58 : 15,032.14 = 3,001.88 : x
  2. Step 2: Convert to fraction form
    10,024.58/15,032.14 = 3,001.88/x
  3. Step 3: Cross multiply
    10,024.58x = 15,032.14 × 3,001.88
  4. Step 4: Simplify right side
    10,024.58x = 45,124,680.42
  5. Step 5: Solve for x
    x = 45,124,680.42/10,024.58
  6. Step 6: Final answer
    x = 4,501.40

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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.