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Finding the Fourth Proportional to 15,569.76, 23,357.28 and 6,804.48

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Solution

The fourth proportional to 15,569.76, 23,357.28 and 6,804.48 is: 10,207.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,569.76 : 23,357.28 = 6,804.48 : x
  2. Step 2: Convert to fraction form
    15,569.76/23,357.28 = 6,804.48/x
  3. Step 3: Cross multiply
    15,569.76x = 23,357.28 × 6,804.48
  4. Step 4: Simplify right side
    15,569.76x = 158,934,144.61
  5. Step 5: Solve for x
    x = 158,934,144.61/15,569.76
  6. Step 6: Final answer
    x = 10,207.87

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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.