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Finding the Fourth Proportional to 16,152.17, 24,239.32 and 6,291.50

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Solution

The fourth proportional to 16,152.17, 24,239.32 and 6,291.50 is: 9,441.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152.17 : 24,239.32 = 6,291.50 : x
  2. Step 2: Convert to fraction form
    16,152.17/24,239.32 = 6,291.50/x
  3. Step 3: Cross multiply
    16,152.17x = 24,239.32 × 6,291.50
  4. Step 4: Simplify right side
    16,152.17x = 152,501,544.85
  5. Step 5: Solve for x
    x = 152,501,544.85/16,152.17
  6. Step 6: Final answer
    x = 9,441.55

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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.