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Finding the Fourth Proportional to 16,206.39, 24,312.87 and 5,112.81

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Solution

The fourth proportional to 16,206.39, 24,312.87 and 5,112.81 is: 7,670.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.39 : 24,312.87 = 5,112.81 : x
  2. Step 2: Convert to fraction form
    16,206.39/24,312.87 = 5,112.81/x
  3. Step 3: Cross multiply
    16,206.39x = 24,312.87 × 5,112.81
  4. Step 4: Simplify right side
    16,206.39x = 124,307,084.86
  5. Step 5: Solve for x
    x = 124,307,084.86/16,206.39
  6. Step 6: Final answer
    x = 7,670.25

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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.