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Finding the Fourth Proportional to 16,261.60, 24,392.40 and 9,243.76

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Solution

The fourth proportional to 16,261.60, 24,392.40 and 9,243.76 is: 13,865.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,261.60 : 24,392.40 = 9,243.76 : x
  2. Step 2: Convert to fraction form
    16,261.60/24,392.40 = 9,243.76/x
  3. Step 3: Cross multiply
    16,261.60x = 24,392.40 × 9,243.76
  4. Step 4: Simplify right side
    16,261.60x = 225,477,491.42
  5. Step 5: Solve for x
    x = 225,477,491.42/16,261.60
  6. Step 6: Final answer
    x = 13,865.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.