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Finding the Fourth Proportional to 15,101.50, 22,655.50 and 5,867.50

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Solution

The fourth proportional to 15,101.50, 22,655.50 and 5,867.50 is: 8,802.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,101.50 : 22,655.50 = 5,867.50 : x
  2. Step 2: Convert to fraction form
    15,101.50/22,655.50 = 5,867.50/x
  3. Step 3: Cross multiply
    15,101.50x = 22,655.50 × 5,867.50
  4. Step 4: Simplify right side
    15,101.50x = 132,931,146.25
  5. Step 5: Solve for x
    x = 132,931,146.25/15,101.50
  6. Step 6: Final answer
    x = 8,802.51

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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.