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Finding the Fourth Proportional to 21,355.70, 32,036.61 and 6,565.86

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Solution

The fourth proportional to 21,355.70, 32,036.61 and 6,565.86 is: 9,849.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,355.70 : 32,036.61 = 6,565.86 : x
  2. Step 2: Convert to fraction form
    21,355.70/32,036.61 = 6,565.86/x
  3. Step 3: Cross multiply
    21,355.70x = 32,036.61 × 6,565.86
  4. Step 4: Simplify right side
    21,355.70x = 210,347,920.76
  5. Step 5: Solve for x
    x = 210,347,920.76/21,355.70
  6. Step 6: Final answer
    x = 9,849.73

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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.