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Finding the Fourth Proportional to 12,319.38, 18,478.80 and 5,304.06

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Solution

The fourth proportional to 12,319.38, 18,478.80 and 5,304.06 is: 7,955.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,319.38 : 18,478.80 = 5,304.06 : x
  2. Step 2: Convert to fraction form
    12,319.38/18,478.80 = 5,304.06/x
  3. Step 3: Cross multiply
    12,319.38x = 18,478.80 × 5,304.06
  4. Step 4: Simplify right side
    12,319.38x = 98,012,663.93
  5. Step 5: Solve for x
    x = 98,012,663.93/12,319.38
  6. Step 6: Final answer
    x = 7,955.97

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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.