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Finding the Fourth Proportional to 22,602.20, 31,191.05 and 12,530.75

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Solution

The fourth proportional to 22,602.20, 31,191.05 and 12,530.75 is: 17,292.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,602.20 : 31,191.05 = 12,530.75 : x
  2. Step 2: Convert to fraction form
    22,602.20/31,191.05 = 12,530.75/x
  3. Step 3: Cross multiply
    22,602.20x = 31,191.05 × 12,530.75
  4. Step 4: Simplify right side
    22,602.20x = 390,847,359.09
  5. Step 5: Solve for x
    x = 390,847,359.09/22,602.20
  6. Step 6: Final answer
    x = 17,292.45

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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.