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Finding the Fourth Proportional to 12,329.24, 18,478.46 and 5,301

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Solution

The fourth proportional to 12,329.24, 18,478.46 and 5,301 is: 7,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,329.24 : 18,478.46 = 5,301 : x
  2. Step 2: Convert to fraction form
    12,329.24/18,478.46 = 5,301/x
  3. Step 3: Cross multiply
    12,329.24x = 18,478.46 × 5,301
  4. Step 4: Simplify right side
    12,329.24x = 97,954,329.71
  5. Step 5: Solve for x
    x = 97,954,329.71/12,329.24
  6. Step 6: Final answer
    x = 7,944.88

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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.