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Finding the Fourth Proportional to 22,750.64, 34,128.84 and 8,897.84

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Solution

The fourth proportional to 22,750.64, 34,128.84 and 8,897.84 is: 13,347.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,750.64 : 34,128.84 = 8,897.84 : x
  2. Step 2: Convert to fraction form
    22,750.64/34,128.84 = 8,897.84/x
  3. Step 3: Cross multiply
    22,750.64x = 34,128.84 × 8,897.84
  4. Step 4: Simplify right side
    22,750.64x = 303,672,957.71
  5. Step 5: Solve for x
    x = 303,672,957.71/22,750.64
  6. Step 6: Final answer
    x = 13,347.89

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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.