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Finding the Fourth Proportional to 22,671.84, 34,009.20 and 6,031.60

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Solution

The fourth proportional to 22,671.84, 34,009.20 and 6,031.60 is: 9,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671.84 : 34,009.20 = 6,031.60 : x
  2. Step 2: Convert to fraction form
    22,671.84/34,009.20 = 6,031.60/x
  3. Step 3: Cross multiply
    22,671.84x = 34,009.20 × 6,031.60
  4. Step 4: Simplify right side
    22,671.84x = 205,129,890.72
  5. Step 5: Solve for x
    x = 205,129,890.72/22,671.84
  6. Step 6: Final answer
    x = 9,047.78

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