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Finding the Fourth Proportional to 16,035.84, 24,036.48 and 6,172.20

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Solution

The fourth proportional to 16,035.84, 24,036.48 and 6,172.20 is: 9,251.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,035.84 : 24,036.48 = 6,172.20 : x
  2. Step 2: Convert to fraction form
    16,035.84/24,036.48 = 6,172.20/x
  3. Step 3: Cross multiply
    16,035.84x = 24,036.48 × 6,172.20
  4. Step 4: Simplify right side
    16,035.84x = 148,357,961.86
  5. Step 5: Solve for x
    x = 148,357,961.86/16,035.84
  6. Step 6: Final answer
    x = 9,251.65

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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.