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Finding the Fourth Proportional to 22,656.78, 31,265.48 and 12,585.86

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Solution

The fourth proportional to 22,656.78, 31,265.48 and 12,585.86 is: 17,368.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,656.78 : 31,265.48 = 12,585.86 : x
  2. Step 2: Convert to fraction form
    22,656.78/31,265.48 = 12,585.86/x
  3. Step 3: Cross multiply
    22,656.78x = 31,265.48 × 12,585.86
  4. Step 4: Simplify right side
    22,656.78x = 393,503,063.74
  5. Step 5: Solve for x
    x = 393,503,063.74/22,656.78
  6. Step 6: Final answer
    x = 17,368.00

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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.