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Finding the Fourth Proportional to 15,151.46, 20,897.16 and 9,848

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Solution

The fourth proportional to 15,151.46, 20,897.16 and 9,848 is: 13,582.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,151.46 : 20,897.16 = 9,848 : x
  2. Step 2: Convert to fraction form
    15,151.46/20,897.16 = 9,848/x
  3. Step 3: Cross multiply
    15,151.46x = 20,897.16 × 9,848
  4. Step 4: Simplify right side
    15,151.46x = 205,795,231.68
  5. Step 5: Solve for x
    x = 205,795,231.68/15,151.46
  6. Step 6: Final answer
    x = 13,582.53

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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.