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Finding the Fourth Proportional to 22,657.36, 31,266.72 and 12,585.76

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Solution

The fourth proportional to 22,657.36, 31,266.72 and 12,585.76 is: 17,368.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,657.36 : 31,266.72 = 12,585.76 : x
  2. Step 2: Convert to fraction form
    22,657.36/31,266.72 = 12,585.76/x
  3. Step 3: Cross multiply
    22,657.36x = 31,266.72 × 12,585.76
  4. Step 4: Simplify right side
    22,657.36x = 393,515,433.91
  5. Step 5: Solve for x
    x = 393,515,433.91/22,657.36
  6. Step 6: Final answer
    x = 17,368.11

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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.