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Finding the Fourth Proportional to 21,565.43, 32,347.84 and 6,775.23

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Solution

The fourth proportional to 21,565.43, 32,347.84 and 6,775.23 is: 10,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,565.43 : 32,347.84 = 6,775.23 : x
  2. Step 2: Convert to fraction form
    21,565.43/32,347.84 = 6,775.23/x
  3. Step 3: Cross multiply
    21,565.43x = 32,347.84 × 6,775.23
  4. Step 4: Simplify right side
    21,565.43x = 219,164,056.00
  5. Step 5: Solve for x
    x = 219,164,056.00/21,565.43
  6. Step 6: Final answer
    x = 10,162.75

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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.