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Finding the Fourth Proportional to 12,534.32, 18,807.68 and 5,958.80

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Solution

The fourth proportional to 12,534.32, 18,807.68 and 5,958.80 is: 8,941.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,534.32 : 18,807.68 = 5,958.80 : x
  2. Step 2: Convert to fraction form
    12,534.32/18,807.68 = 5,958.80/x
  3. Step 3: Cross multiply
    12,534.32x = 18,807.68 × 5,958.80
  4. Step 4: Simplify right side
    12,534.32x = 112,071,203.58
  5. Step 5: Solve for x
    x = 112,071,203.58/12,534.32
  6. Step 6: Final answer
    x = 8,941.15

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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.