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Finding the Fourth Proportional to 24,188.59, 36,281.94 and 6,657.94

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Solution

The fourth proportional to 24,188.59, 36,281.94 and 6,657.94 is: 9,986.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,188.59 : 36,281.94 = 6,657.94 : x
  2. Step 2: Convert to fraction form
    24,188.59/36,281.94 = 6,657.94/x
  3. Step 3: Cross multiply
    24,188.59x = 36,281.94 × 6,657.94
  4. Step 4: Simplify right side
    24,188.59x = 241,562,979.60
  5. Step 5: Solve for x
    x = 241,562,979.60/24,188.59
  6. Step 6: Final answer
    x = 9,986.65

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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.