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Finding the Fourth Proportional to 22,505.64, 31,056.71 and 12,434.17

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Solution

The fourth proportional to 22,505.64, 31,056.71 and 12,434.17 is: 17,158.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,505.64 : 31,056.71 = 12,434.17 : x
  2. Step 2: Convert to fraction form
    22,505.64/31,056.71 = 12,434.17/x
  3. Step 3: Cross multiply
    22,505.64x = 31,056.71 × 12,434.17
  4. Step 4: Simplify right side
    22,505.64x = 386,164,271.97
  5. Step 5: Solve for x
    x = 386,164,271.97/22,505.64
  6. Step 6: Final answer
    x = 17,158.56

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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.