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Finding the Fourth Proportional to 16,184.16, 24,279.01 and 7,419.83

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Solution

The fourth proportional to 16,184.16, 24,279.01 and 7,419.83 is: 11,131.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,184.16 : 24,279.01 = 7,419.83 : x
  2. Step 2: Convert to fraction form
    16,184.16/24,279.01 = 7,419.83/x
  3. Step 3: Cross multiply
    16,184.16x = 24,279.01 × 7,419.83
  4. Step 4: Simplify right side
    16,184.16x = 180,146,126.77
  5. Step 5: Solve for x
    x = 180,146,126.77/16,184.16
  6. Step 6: Final answer
    x = 11,131.01

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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.