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Finding the Fourth Proportional to 16,260.16, 24,394.08 and 5,872

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Solution

The fourth proportional to 16,260.16, 24,394.08 and 5,872 is: 8,809.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,260.16 : 24,394.08 = 5,872 : x
  2. Step 2: Convert to fraction form
    16,260.16/24,394.08 = 5,872/x
  3. Step 3: Cross multiply
    16,260.16x = 24,394.08 × 5,872
  4. Step 4: Simplify right side
    16,260.16x = 143,242,037.76
  5. Step 5: Solve for x
    x = 143,242,037.76/16,260.16
  6. Step 6: Final answer
    x = 8,809.39

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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.