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Finding the Fourth Proportional to 15,970.18, 22,036.80 and 9,255.76

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Solution

The fourth proportional to 15,970.18, 22,036.80 and 9,255.76 is: 12,771.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,970.18 : 22,036.80 = 9,255.76 : x
  2. Step 2: Convert to fraction form
    15,970.18/22,036.80 = 9,255.76/x
  3. Step 3: Cross multiply
    15,970.18x = 22,036.80 × 9,255.76
  4. Step 4: Simplify right side
    15,970.18x = 203,967,331.97
  5. Step 5: Solve for x
    x = 203,967,331.97/15,970.18
  6. Step 6: Final answer
    x = 12,771.76

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