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Finding the Fourth Proportional to 25,970.54, 38,932.43 and 9,326.66

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Solution

The fourth proportional to 25,970.54, 38,932.43 and 9,326.66 is: 13,981.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,970.54 : 38,932.43 = 9,326.66 : x
  2. Step 2: Convert to fraction form
    25,970.54/38,932.43 = 9,326.66/x
  3. Step 3: Cross multiply
    25,970.54x = 38,932.43 × 9,326.66
  4. Step 4: Simplify right side
    25,970.54x = 363,109,296.29
  5. Step 5: Solve for x
    x = 363,109,296.29/25,970.54
  6. Step 6: Final answer
    x = 13,981.59

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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.