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Finding the Fourth Proportional to 15,888.72, 23,843.76 and 8,498.40

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Solution

The fourth proportional to 15,888.72, 23,843.76 and 8,498.40 is: 12,753.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,888.72 : 23,843.76 = 8,498.40 : x
  2. Step 2: Convert to fraction form
    15,888.72/23,843.76 = 8,498.40/x
  3. Step 3: Cross multiply
    15,888.72x = 23,843.76 × 8,498.40
  4. Step 4: Simplify right side
    15,888.72x = 202,633,809.98
  5. Step 5: Solve for x
    x = 202,633,809.98/15,888.72
  6. Step 6: Final answer
    x = 12,753.31

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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.