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Finding the Fourth Proportional to 24,758.73, 37,074.71 and 13,653.09

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Solution

The fourth proportional to 24,758.73, 37,074.71 and 13,653.09 is: 20,444.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,758.73 : 37,074.71 = 13,653.09 : x
  2. Step 2: Convert to fraction form
    24,758.73/37,074.71 = 13,653.09/x
  3. Step 3: Cross multiply
    24,758.73x = 37,074.71 × 13,653.09
  4. Step 4: Simplify right side
    24,758.73x = 506,184,386.49
  5. Step 5: Solve for x
    x = 506,184,386.49/24,758.73
  6. Step 6: Final answer
    x = 20,444.68

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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.