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Finding the Fourth Proportional to 12,424.32, 18,593.55 and 7,678.67

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Solution

The fourth proportional to 12,424.32, 18,593.55 and 7,678.67 is: 11,491.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,424.32 : 18,593.55 = 7,678.67 : x
  2. Step 2: Convert to fraction form
    12,424.32/18,593.55 = 7,678.67/x
  3. Step 3: Cross multiply
    12,424.32x = 18,593.55 × 7,678.67
  4. Step 4: Simplify right side
    12,424.32x = 142,773,641.61
  5. Step 5: Solve for x
    x = 142,773,641.61/12,424.32
  6. Step 6: Final answer
    x = 11,491.47

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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.