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Finding the Fourth Proportional to 24,162.39, 36,238.14 and 8,580.06

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Solution

The fourth proportional to 24,162.39, 36,238.14 and 8,580.06 is: 12,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,162.39 : 36,238.14 = 8,580.06 : x
  2. Step 2: Convert to fraction form
    24,162.39/36,238.14 = 8,580.06/x
  3. Step 3: Cross multiply
    24,162.39x = 36,238.14 × 8,580.06
  4. Step 4: Simplify right side
    24,162.39x = 310,925,415.49
  5. Step 5: Solve for x
    x = 310,925,415.49/24,162.39
  6. Step 6: Final answer
    x = 12,868.16

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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.