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Finding the Fourth Proportional to 16,032.31, 24,047.03 and 7,148.07

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Solution

The fourth proportional to 16,032.31, 24,047.03 and 7,148.07 is: 10,721.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,032.31 : 24,047.03 = 7,148.07 : x
  2. Step 2: Convert to fraction form
    16,032.31/24,047.03 = 7,148.07/x
  3. Step 3: Cross multiply
    16,032.31x = 24,047.03 × 7,148.07
  4. Step 4: Simplify right side
    16,032.31x = 171,889,853.73
  5. Step 5: Solve for x
    x = 171,889,853.73/16,032.31
  6. Step 6: Final answer
    x = 10,721.47

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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.