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Finding the Fourth Proportional to 24,310, 33,547.83 and 13,132

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Solution

The fourth proportional to 24,310, 33,547.83 and 13,132 is: 18,122.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,310 : 33,547.83 = 13,132 : x
  2. Step 2: Convert to fraction form
    24,310/33,547.83 = 13,132/x
  3. Step 3: Cross multiply
    24,310x = 33,547.83 × 13,132
  4. Step 4: Simplify right side
    24,310x = 440,550,103.56
  5. Step 5: Solve for x
    x = 440,550,103.56/24,310
  6. Step 6: Final answer
    x = 18,122.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.