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Finding the Fourth Proportional to 22,785.64, 31,436.84 and 12,712.48

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Solution

The fourth proportional to 22,785.64, 31,436.84 and 12,712.48 is: 17,539.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,785.64 : 31,436.84 = 12,712.48 : x
  2. Step 2: Convert to fraction form
    22,785.64/31,436.84 = 12,712.48/x
  3. Step 3: Cross multiply
    22,785.64x = 31,436.84 × 12,712.48
  4. Step 4: Simplify right side
    22,785.64x = 399,640,199.76
  5. Step 5: Solve for x
    x = 399,640,199.76/22,785.64
  6. Step 6: Final answer
    x = 17,539.13

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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.