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Finding the Fourth Proportional to 21,410.73, 32,116.33 and 9,565.10

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Solution

The fourth proportional to 21,410.73, 32,116.33 and 9,565.10 is: 14,347.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.73 : 32,116.33 = 9,565.10 : x
  2. Step 2: Convert to fraction form
    21,410.73/32,116.33 = 9,565.10/x
  3. Step 3: Cross multiply
    21,410.73x = 32,116.33 × 9,565.10
  4. Step 4: Simplify right side
    21,410.73x = 307,196,060.55
  5. Step 5: Solve for x
    x = 307,196,060.55/21,410.73
  6. Step 6: Final answer
    x = 14,347.76

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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.