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Finding the Fourth Proportional to 15,494.50, 23,232.51 and 6,135.86

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Solution

The fourth proportional to 15,494.50, 23,232.51 and 6,135.86 is: 9,200.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,494.50 : 23,232.51 = 6,135.86 : x
  2. Step 2: Convert to fraction form
    15,494.50/23,232.51 = 6,135.86/x
  3. Step 3: Cross multiply
    15,494.50x = 23,232.51 × 6,135.86
  4. Step 4: Simplify right side
    15,494.50x = 142,551,428.81
  5. Step 5: Solve for x
    x = 142,551,428.81/15,494.50
  6. Step 6: Final answer
    x = 9,200.13

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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.