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Finding the Fourth Proportional to 15,152.76, 22,734.72 and 6,386.76

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Solution

The fourth proportional to 15,152.76, 22,734.72 and 6,386.76 is: 9,582.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,152.76 : 22,734.72 = 6,386.76 : x
  2. Step 2: Convert to fraction form
    15,152.76/22,734.72 = 6,386.76/x
  3. Step 3: Cross multiply
    15,152.76x = 22,734.72 × 6,386.76
  4. Step 4: Simplify right side
    15,152.76x = 145,201,200.31
  5. Step 5: Solve for x
    x = 145,201,200.31/15,152.76
  6. Step 6: Final answer
    x = 9,582.49

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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.