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Finding the Fourth Proportional to 23,154.91, 31,953.11 and 13,594.64

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Solution

The fourth proportional to 23,154.91, 31,953.11 and 13,594.64 is: 18,760.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.91 : 31,953.11 = 13,594.64 : x
  2. Step 2: Convert to fraction form
    23,154.91/31,953.11 = 13,594.64/x
  3. Step 3: Cross multiply
    23,154.91x = 31,953.11 × 13,594.64
  4. Step 4: Simplify right side
    23,154.91x = 434,390,799.59
  5. Step 5: Solve for x
    x = 434,390,799.59/23,154.91
  6. Step 6: Final answer
    x = 18,760.20

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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.