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Finding the Fourth Proportional to 18,646.22, 25,732.30 and 10,148.88

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Solution

The fourth proportional to 18,646.22, 25,732.30 and 10,148.88 is: 14,005.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,646.22 : 25,732.30 = 10,148.88 : x
  2. Step 2: Convert to fraction form
    18,646.22/25,732.30 = 10,148.88/x
  3. Step 3: Cross multiply
    18,646.22x = 25,732.30 × 10,148.88
  4. Step 4: Simplify right side
    18,646.22x = 261,154,024.82
  5. Step 5: Solve for x
    x = 261,154,024.82/18,646.22
  6. Step 6: Final answer
    x = 14,005.74

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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.