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Finding the Fourth Proportional to 16,514.79, 24,772.21 and 7,024.66

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Solution

The fourth proportional to 16,514.79, 24,772.21 and 7,024.66 is: 10,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,514.79 : 24,772.21 = 7,024.66 : x
  2. Step 2: Convert to fraction form
    16,514.79/24,772.21 = 7,024.66/x
  3. Step 3: Cross multiply
    16,514.79x = 24,772.21 × 7,024.66
  4. Step 4: Simplify right side
    16,514.79x = 174,016,312.72
  5. Step 5: Solve for x
    x = 174,016,312.72/16,514.79
  6. Step 6: Final answer
    x = 10,537.00

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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.