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Finding the Fourth Proportional to 16,441.76, 24,506.44 and 15,507.74

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Solution

The fourth proportional to 16,441.76, 24,506.44 and 15,507.74 is: 23,114.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.76 : 24,506.44 = 15,507.74 : x
  2. Step 2: Convert to fraction form
    16,441.76/24,506.44 = 15,507.74/x
  3. Step 3: Cross multiply
    16,441.76x = 24,506.44 × 15,507.74
  4. Step 4: Simplify right side
    16,441.76x = 380,039,499.85
  5. Step 5: Solve for x
    x = 380,039,499.85/16,441.76
  6. Step 6: Final answer
    x = 23,114.28

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.