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Finding the Fourth Proportional to 22,073.50, 30,461.34 and 12,641.86

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Solution

The fourth proportional to 22,073.50, 30,461.34 and 12,641.86 is: 17,445.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,073.50 : 30,461.34 = 12,641.86 : x
  2. Step 2: Convert to fraction form
    22,073.50/30,461.34 = 12,641.86/x
  3. Step 3: Cross multiply
    22,073.50x = 30,461.34 × 12,641.86
  4. Step 4: Simplify right side
    22,073.50x = 385,087,995.69
  5. Step 5: Solve for x
    x = 385,087,995.69/22,073.50
  6. Step 6: Final answer
    x = 17,445.72

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