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Finding the Fourth Proportional to 22,505.68, 31,057.32 and 12,433.60

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Solution

The fourth proportional to 22,505.68, 31,057.32 and 12,433.60 is: 17,158.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.68 : 31,057.32 = 12,433.60 : x
  2. Step 2: Convert to fraction form
    22,505.68/31,057.32 = 12,433.60/x
  3. Step 3: Cross multiply
    22,505.68x = 31,057.32 × 12,433.60
  4. Step 4: Simplify right side
    22,505.68x = 386,154,293.95
  5. Step 5: Solve for x
    x = 386,154,293.95/22,505.68
  6. Step 6: Final answer
    x = 17,158.08

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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.