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Finding the Fourth Proportional to 12,423.80, 18,592.70 and 7,678.01

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Solution

The fourth proportional to 12,423.80, 18,592.70 and 7,678.01 is: 11,490.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,423.80 : 18,592.70 = 7,678.01 : x
  2. Step 2: Convert to fraction form
    12,423.80/18,592.70 = 7,678.01/x
  3. Step 3: Cross multiply
    12,423.80x = 18,592.70 × 7,678.01
  4. Step 4: Simplify right side
    12,423.80x = 142,754,805.17
  5. Step 5: Solve for x
    x = 142,754,805.17/12,423.80
  6. Step 6: Final answer
    x = 11,490.43

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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.