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Finding the Fourth Proportional to 12,171.60, 18,259.32 and 5,246.16

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Solution

The fourth proportional to 12,171.60, 18,259.32 and 5,246.16 is: 7,870.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,171.60 : 18,259.32 = 5,246.16 : x
  2. Step 2: Convert to fraction form
    12,171.60/18,259.32 = 5,246.16/x
  3. Step 3: Cross multiply
    12,171.60x = 18,259.32 × 5,246.16
  4. Step 4: Simplify right side
    12,171.60x = 95,791,314.21
  5. Step 5: Solve for x
    x = 95,791,314.21/12,171.60
  6. Step 6: Final answer
    x = 7,870.07

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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.