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Finding the Fourth Proportional to 12,368.24, 18,527.62 and 7,435.16

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Solution

The fourth proportional to 12,368.24, 18,527.62 and 7,435.16 is: 11,137.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,368.24 : 18,527.62 = 7,435.16 : x
  2. Step 2: Convert to fraction form
    12,368.24/18,527.62 = 7,435.16/x
  3. Step 3: Cross multiply
    12,368.24x = 18,527.62 × 7,435.16
  4. Step 4: Simplify right side
    12,368.24x = 137,755,819.12
  5. Step 5: Solve for x
    x = 137,755,819.12/12,368.24
  6. Step 6: Final answer
    x = 11,137.87

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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.