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Finding the Fourth Proportional to 16,365.96, 24,545.07 and 7,596

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Solution

The fourth proportional to 16,365.96, 24,545.07 and 7,596 is: 11,392.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365.96 : 24,545.07 = 7,596 : x
  2. Step 2: Convert to fraction form
    16,365.96/24,545.07 = 7,596/x
  3. Step 3: Cross multiply
    16,365.96x = 24,545.07 × 7,596
  4. Step 4: Simplify right side
    16,365.96x = 186,444,351.72
  5. Step 5: Solve for x
    x = 186,444,351.72/16,365.96
  6. Step 6: Final answer
    x = 11,392.20

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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.