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Finding the Fourth Proportional to 24,106, 36,159.64 and 7,690

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Solution

The fourth proportional to 24,106, 36,159.64 and 7,690 is: 11,535.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,106 : 36,159.64 = 7,690 : x
  2. Step 2: Convert to fraction form
    24,106/36,159.64 = 7,690/x
  3. Step 3: Cross multiply
    24,106x = 36,159.64 × 7,690
  4. Step 4: Simplify right side
    24,106x = 278,067,631.60
  5. Step 5: Solve for x
    x = 278,067,631.60/24,106
  6. Step 6: Final answer
    x = 11,535.20

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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.