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Finding the Fourth Proportional to 22,684.32, 31,304.75 and 12,475.79

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Solution

The fourth proportional to 22,684.32, 31,304.75 and 12,475.79 is: 17,216.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,684.32 : 31,304.75 = 12,475.79 : x
  2. Step 2: Convert to fraction form
    22,684.32/31,304.75 = 12,475.79/x
  3. Step 3: Cross multiply
    22,684.32x = 31,304.75 × 12,475.79
  4. Step 4: Simplify right side
    22,684.32x = 390,551,385.49
  5. Step 5: Solve for x
    x = 390,551,385.49/22,684.32
  6. Step 6: Final answer
    x = 17,216.80

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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.