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Finding the Fourth Proportional to 24,561.72, 36,842.58 and 10,701

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Solution

The fourth proportional to 24,561.72, 36,842.58 and 10,701 is: 16,051.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,561.72 : 36,842.58 = 10,701 : x
  2. Step 2: Convert to fraction form
    24,561.72/36,842.58 = 10,701/x
  3. Step 3: Cross multiply
    24,561.72x = 36,842.58 × 10,701
  4. Step 4: Simplify right side
    24,561.72x = 394,252,448.58
  5. Step 5: Solve for x
    x = 394,252,448.58/24,561.72
  6. Step 6: Final answer
    x = 16,051.50

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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.