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Finding the Fourth Proportional to 22,385.88, 33,586.12 and 10,700

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Solution

The fourth proportional to 22,385.88, 33,586.12 and 10,700 is: 16,053.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,385.88 : 33,586.12 = 10,700 : x
  2. Step 2: Convert to fraction form
    22,385.88/33,586.12 = 10,700/x
  3. Step 3: Cross multiply
    22,385.88x = 33,586.12 × 10,700
  4. Step 4: Simplify right side
    22,385.88x = 359,371,484
  5. Step 5: Solve for x
    x = 359,371,484/22,385.88
  6. Step 6: Final answer
    x = 16,053.49

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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.