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Finding the Fourth Proportional to 13,640.68, 18,823.95 and 7,672.35

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Solution

The fourth proportional to 13,640.68, 18,823.95 and 7,672.35 is: 10,587.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,640.68 : 18,823.95 = 7,672.35 : x
  2. Step 2: Convert to fraction form
    13,640.68/18,823.95 = 7,672.35/x
  3. Step 3: Cross multiply
    13,640.68x = 18,823.95 × 7,672.35
  4. Step 4: Simplify right side
    13,640.68x = 144,423,932.78
  5. Step 5: Solve for x
    x = 144,423,932.78/13,640.68
  6. Step 6: Final answer
    x = 10,587.74

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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.