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Finding the Fourth Proportional to 16,277.68, 24,416.52 and 5,887

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Solution

The fourth proportional to 16,277.68, 24,416.52 and 5,887 is: 8,830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,277.68 : 24,416.52 = 5,887 : x
  2. Step 2: Convert to fraction form
    16,277.68/24,416.52 = 5,887/x
  3. Step 3: Cross multiply
    16,277.68x = 24,416.52 × 5,887
  4. Step 4: Simplify right side
    16,277.68x = 143,740,053.24
  5. Step 5: Solve for x
    x = 143,740,053.24/16,277.68
  6. Step 6: Final answer
    x = 8,830.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.