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Finding the Fourth Proportional to 15,071.76, 20,803.34 and 9,103.84

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Solution

The fourth proportional to 15,071.76, 20,803.34 and 9,103.84 is: 12,565.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,071.76 : 20,803.34 = 9,103.84 : x
  2. Step 2: Convert to fraction form
    15,071.76/20,803.34 = 9,103.84/x
  3. Step 3: Cross multiply
    15,071.76x = 20,803.34 × 9,103.84
  4. Step 4: Simplify right side
    15,071.76x = 189,390,249.58
  5. Step 5: Solve for x
    x = 189,390,249.58/15,071.76
  6. Step 6: Final answer
    x = 12,565.90

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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.