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Finding the Fourth Proportional to 10,154.08, 15,189 and 9,532

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Solution

The fourth proportional to 10,154.08, 15,189 and 9,532 is: 14,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,154.08 : 15,189 = 9,532 : x
  2. Step 2: Convert to fraction form
    10,154.08/15,189 = 9,532/x
  3. Step 3: Cross multiply
    10,154.08x = 15,189 × 9,532
  4. Step 4: Simplify right side
    10,154.08x = 144,781,548
  5. Step 5: Solve for x
    x = 144,781,548/10,154.08
  6. Step 6: Final answer
    x = 14,258.46

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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.