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Finding the Fourth Proportional to 15,920.64, 23,872.75 and 7,148.03

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Solution

The fourth proportional to 15,920.64, 23,872.75 and 7,148.03 is: 10,718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.64 : 23,872.75 = 7,148.03 : x
  2. Step 2: Convert to fraction form
    15,920.64/23,872.75 = 7,148.03/x
  3. Step 3: Cross multiply
    15,920.64x = 23,872.75 × 7,148.03
  4. Step 4: Simplify right side
    15,920.64x = 170,643,133.18
  5. Step 5: Solve for x
    x = 170,643,133.18/15,920.64
  6. Step 6: Final answer
    x = 10,718.36

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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.