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Finding the Fourth Proportional to 16,332.84, 22,545.54 and 10,044

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Solution

The fourth proportional to 16,332.84, 22,545.54 and 10,044 is: 13,864.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,332.84 : 22,545.54 = 10,044 : x
  2. Step 2: Convert to fraction form
    16,332.84/22,545.54 = 10,044/x
  3. Step 3: Cross multiply
    16,332.84x = 22,545.54 × 10,044
  4. Step 4: Simplify right side
    16,332.84x = 226,447,403.76
  5. Step 5: Solve for x
    x = 226,447,403.76/16,332.84
  6. Step 6: Final answer
    x = 13,864.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.