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Finding the Fourth Proportional to 22,706.36, 31,332.42 and 12,633.20

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Solution

The fourth proportional to 22,706.36, 31,332.42 and 12,633.20 is: 17,432.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,706.36 : 31,332.42 = 12,633.20 : x
  2. Step 2: Convert to fraction form
    22,706.36/31,332.42 = 12,633.20/x
  3. Step 3: Cross multiply
    22,706.36x = 31,332.42 × 12,633.20
  4. Step 4: Simplify right side
    22,706.36x = 395,828,728.34
  5. Step 5: Solve for x
    x = 395,828,728.34/22,706.36
  6. Step 6: Final answer
    x = 17,432.50

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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.