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Finding the Fourth Proportional to 15,408, 23,115.84 and 4,464

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Solution

The fourth proportional to 15,408, 23,115.84 and 4,464 is: 6,697.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,408 : 23,115.84 = 4,464 : x
  2. Step 2: Convert to fraction form
    15,408/23,115.84 = 4,464/x
  3. Step 3: Cross multiply
    15,408x = 23,115.84 × 4,464
  4. Step 4: Simplify right side
    15,408x = 103,189,109.76
  5. Step 5: Solve for x
    x = 103,189,109.76/15,408
  6. Step 6: Final answer
    x = 6,697.11

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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.