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Finding the Fourth Proportional to 15,825.66, 23,746.59 and 6,472.59

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Solution

The fourth proportional to 15,825.66, 23,746.59 and 6,472.59 is: 9,712.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,825.66 : 23,746.59 = 6,472.59 : x
  2. Step 2: Convert to fraction form
    15,825.66/23,746.59 = 6,472.59/x
  3. Step 3: Cross multiply
    15,825.66x = 23,746.59 × 6,472.59
  4. Step 4: Simplify right side
    15,825.66x = 153,701,940.97
  5. Step 5: Solve for x
    x = 153,701,940.97/15,825.66
  6. Step 6: Final answer
    x = 9,712.20

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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.