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Finding the Fourth Proportional to 12,308.24, 18,432.93 and 7,098.32

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Solution

The fourth proportional to 12,308.24, 18,432.93 and 7,098.32 is: 10,630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,308.24 : 18,432.93 = 7,098.32 : x
  2. Step 2: Convert to fraction form
    12,308.24/18,432.93 = 7,098.32/x
  3. Step 3: Cross multiply
    12,308.24x = 18,432.93 × 7,098.32
  4. Step 4: Simplify right side
    12,308.24x = 130,842,835.68
  5. Step 5: Solve for x
    x = 130,842,835.68/12,308.24
  6. Step 6: Final answer
    x = 10,630.51

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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.