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Finding the Fourth Proportional to 16,497.47, 24,714.30 and 10,259.98

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Solution

The fourth proportional to 16,497.47, 24,714.30 and 10,259.98 is: 15,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,497.47 : 24,714.30 = 10,259.98 : x
  2. Step 2: Convert to fraction form
    16,497.47/24,714.30 = 10,259.98/x
  3. Step 3: Cross multiply
    16,497.47x = 24,714.30 × 10,259.98
  4. Step 4: Simplify right side
    16,497.47x = 253,568,100.14
  5. Step 5: Solve for x
    x = 253,568,100.14/16,497.47
  6. Step 6: Final answer
    x = 15,370.12

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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.