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Finding the Fourth Proportional to 16,343.08, 24,514.14 and 9,724.98

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Solution

The fourth proportional to 16,343.08, 24,514.14 and 9,724.98 is: 14,587.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,343.08 : 24,514.14 = 9,724.98 : x
  2. Step 2: Convert to fraction form
    16,343.08/24,514.14 = 9,724.98/x
  3. Step 3: Cross multiply
    16,343.08x = 24,514.14 × 9,724.98
  4. Step 4: Simplify right side
    16,343.08x = 238,399,521.22
  5. Step 5: Solve for x
    x = 238,399,521.22/16,343.08
  6. Step 6: Final answer
    x = 14,587.18

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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.