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Finding the Fourth Proportional to 24,168.68, 36,258.64 and 7,527.84

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Solution

The fourth proportional to 24,168.68, 36,258.64 and 7,527.84 is: 11,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,168.68 : 36,258.64 = 7,527.84 : x
  2. Step 2: Convert to fraction form
    24,168.68/36,258.64 = 7,527.84/x
  3. Step 3: Cross multiply
    24,168.68x = 36,258.64 × 7,527.84
  4. Step 4: Simplify right side
    24,168.68x = 272,949,085.75
  5. Step 5: Solve for x
    x = 272,949,085.75/24,168.68
  6. Step 6: Final answer
    x = 11,293.50

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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.