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Finding the Fourth Proportional to 21,715.10, 32,583.45 and 8,567.90

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Solution

The fourth proportional to 21,715.10, 32,583.45 and 8,567.90 is: 12,856.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,715.10 : 32,583.45 = 8,567.90 : x
  2. Step 2: Convert to fraction form
    21,715.10/32,583.45 = 8,567.90/x
  3. Step 3: Cross multiply
    21,715.10x = 32,583.45 × 8,567.90
  4. Step 4: Simplify right side
    21,715.10x = 279,171,741.26
  5. Step 5: Solve for x
    x = 279,171,741.26/21,715.10
  6. Step 6: Final answer
    x = 12,856.11

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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.