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Finding the Fourth Proportional to 16,018.70, 24,006.11 and 9,002.07

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Solution

The fourth proportional to 16,018.70, 24,006.11 and 9,002.07 is: 13,490.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,018.70 : 24,006.11 = 9,002.07 : x
  2. Step 2: Convert to fraction form
    16,018.70/24,006.11 = 9,002.07/x
  3. Step 3: Cross multiply
    16,018.70x = 24,006.11 × 9,002.07
  4. Step 4: Simplify right side
    16,018.70x = 216,104,637.64
  5. Step 5: Solve for x
    x = 216,104,637.64/16,018.70
  6. Step 6: Final answer
    x = 13,490.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.