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Finding the Fourth Proportional to 10,419.72, 15,632.01 and 3,024.32

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Solution

The fourth proportional to 10,419.72, 15,632.01 and 3,024.32 is: 4,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,419.72 : 15,632.01 = 3,024.32 : x
  2. Step 2: Convert to fraction form
    10,419.72/15,632.01 = 3,024.32/x
  3. Step 3: Cross multiply
    10,419.72x = 15,632.01 × 3,024.32
  4. Step 4: Simplify right side
    10,419.72x = 47,276,122.32
  5. Step 5: Solve for x
    x = 47,276,122.32/10,419.72
  6. Step 6: Final answer
    x = 4,537.18

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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.