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Finding the Fourth Proportional to 24,315.36, 36,470.16 and 7,674.72

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Solution

The fourth proportional to 24,315.36, 36,470.16 and 7,674.72 is: 11,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,315.36 : 36,470.16 = 7,674.72 : x
  2. Step 2: Convert to fraction form
    24,315.36/36,470.16 = 7,674.72/x
  3. Step 3: Cross multiply
    24,315.36x = 36,470.16 × 7,674.72
  4. Step 4: Simplify right side
    24,315.36x = 279,898,266.36
  5. Step 5: Solve for x
    x = 279,898,266.36/24,315.36
  6. Step 6: Final answer
    x = 11,511.17

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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.