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Finding the Fourth Proportional to 13,023.12, 19,539 and 8,657.76

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Solution

The fourth proportional to 13,023.12, 19,539 and 8,657.76 is: 12,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,023.12 : 19,539 = 8,657.76 : x
  2. Step 2: Convert to fraction form
    13,023.12/19,539 = 8,657.76/x
  3. Step 3: Cross multiply
    13,023.12x = 19,539 × 8,657.76
  4. Step 4: Simplify right side
    13,023.12x = 169,163,972.64
  5. Step 5: Solve for x
    x = 169,163,972.64/13,023.12
  6. Step 6: Final answer
    x = 12,989.51

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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.