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Finding the Fourth Proportional to 18,766.52, 25,897.76 and 10,383

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Solution

The fourth proportional to 18,766.52, 25,897.76 and 10,383 is: 14,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,766.52 : 25,897.76 = 10,383 : x
  2. Step 2: Convert to fraction form
    18,766.52/25,897.76 = 10,383/x
  3. Step 3: Cross multiply
    18,766.52x = 25,897.76 × 10,383
  4. Step 4: Simplify right side
    18,766.52x = 268,896,442.08
  5. Step 5: Solve for x
    x = 268,896,442.08/18,766.52
  6. Step 6: Final answer
    x = 14,328.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.