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Finding the Fourth Proportional to 15,838.79, 23,752.22 and 6,473.79

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Solution

The fourth proportional to 15,838.79, 23,752.22 and 6,473.79 is: 9,708.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,838.79 : 23,752.22 = 6,473.79 : x
  2. Step 2: Convert to fraction form
    15,838.79/23,752.22 = 6,473.79/x
  3. Step 3: Cross multiply
    15,838.79x = 23,752.22 × 6,473.79
  4. Step 4: Simplify right side
    15,838.79x = 153,766,851.94
  5. Step 5: Solve for x
    x = 153,766,851.94/15,838.79
  6. Step 6: Final answer
    x = 9,708.25

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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.