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Finding the Fourth Proportional to 21,354.68, 32,038.86 and 10,262.17

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Solution

The fourth proportional to 21,354.68, 32,038.86 and 10,262.17 is: 15,396.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,354.68 : 32,038.86 = 10,262.17 : x
  2. Step 2: Convert to fraction form
    21,354.68/32,038.86 = 10,262.17/x
  3. Step 3: Cross multiply
    21,354.68x = 32,038.86 × 10,262.17
  4. Step 4: Simplify right side
    21,354.68x = 328,788,067.73
  5. Step 5: Solve for x
    x = 328,788,067.73/21,354.68
  6. Step 6: Final answer
    x = 15,396.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.