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Finding the Fourth Proportional to 21,547.60, 32,308.17 and 8,384.65

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Solution

The fourth proportional to 21,547.60, 32,308.17 and 8,384.65 is: 12,571.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.60 : 32,308.17 = 8,384.65 : x
  2. Step 2: Convert to fraction form
    21,547.60/32,308.17 = 8,384.65/x
  3. Step 3: Cross multiply
    21,547.60x = 32,308.17 × 8,384.65
  4. Step 4: Simplify right side
    21,547.60x = 270,892,697.59
  5. Step 5: Solve for x
    x = 270,892,697.59/21,547.60
  6. Step 6: Final answer
    x = 12,571.83

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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.