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Finding the Fourth Proportional to 15,785.18, 23,672.88 and 5,394.50

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Solution

The fourth proportional to 15,785.18, 23,672.88 and 5,394.50 is: 8,090.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,785.18 : 23,672.88 = 5,394.50 : x
  2. Step 2: Convert to fraction form
    15,785.18/23,672.88 = 5,394.50/x
  3. Step 3: Cross multiply
    15,785.18x = 23,672.88 × 5,394.50
  4. Step 4: Simplify right side
    15,785.18x = 127,703,351.16
  5. Step 5: Solve for x
    x = 127,703,351.16/15,785.18
  6. Step 6: Final answer
    x = 8,090.08

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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.