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Finding the Fourth Proportional to 23,140.64, 34,689.72 and 8,346.08

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Solution

The fourth proportional to 23,140.64, 34,689.72 and 8,346.08 is: 12,511.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,140.64 : 34,689.72 = 8,346.08 : x
  2. Step 2: Convert to fraction form
    23,140.64/34,689.72 = 8,346.08/x
  3. Step 3: Cross multiply
    23,140.64x = 34,689.72 × 8,346.08
  4. Step 4: Simplify right side
    23,140.64x = 289,523,178.30
  5. Step 5: Solve for x
    x = 289,523,178.30/23,140.64
  6. Step 6: Final answer
    x = 12,511.46

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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.