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Finding the Fourth Proportional to 16,301.52, 24,456.06 and 5,206.68

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Solution

The fourth proportional to 16,301.52, 24,456.06 and 5,206.68 is: 7,811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.52 : 24,456.06 = 5,206.68 : x
  2. Step 2: Convert to fraction form
    16,301.52/24,456.06 = 5,206.68/x
  3. Step 3: Cross multiply
    16,301.52x = 24,456.06 × 5,206.68
  4. Step 4: Simplify right side
    16,301.52x = 127,334,878.48
  5. Step 5: Solve for x
    x = 127,334,878.48/16,301.52
  6. Step 6: Final answer
    x = 7,811.23

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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.