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Finding the Fourth Proportional to 24,468.19, 36,701.79 and 7,828.22

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Solution

The fourth proportional to 24,468.19, 36,701.79 and 7,828.22 is: 11,742.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,468.19 : 36,701.79 = 7,828.22 : x
  2. Step 2: Convert to fraction form
    24,468.19/36,701.79 = 7,828.22/x
  3. Step 3: Cross multiply
    24,468.19x = 36,701.79 × 7,828.22
  4. Step 4: Simplify right side
    24,468.19x = 287,309,807.62
  5. Step 5: Solve for x
    x = 287,309,807.62/24,468.19
  6. Step 6: Final answer
    x = 11,742.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.