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Finding the Fourth Proportional to 21,715.58, 32,567.42 and 8,567.66

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Solution

The fourth proportional to 21,715.58, 32,567.42 and 8,567.66 is: 12,849.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,715.58 : 32,567.42 = 8,567.66 : x
  2. Step 2: Convert to fraction form
    21,715.58/32,567.42 = 8,567.66/x
  3. Step 3: Cross multiply
    21,715.58x = 32,567.42 × 8,567.66
  4. Step 4: Simplify right side
    21,715.58x = 279,026,581.64
  5. Step 5: Solve for x
    x = 279,026,581.64/21,715.58
  6. Step 6: Final answer
    x = 12,849.14

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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.