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Finding the Fourth Proportional to 24,581.34, 36,877.94 and 7,051.02

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Solution

The fourth proportional to 24,581.34, 36,877.94 and 7,051.02 is: 10,578.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,581.34 : 36,877.94 = 7,051.02 : x
  2. Step 2: Convert to fraction form
    24,581.34/36,877.94 = 7,051.02/x
  3. Step 3: Cross multiply
    24,581.34x = 36,877.94 × 7,051.02
  4. Step 4: Simplify right side
    24,581.34x = 260,027,083.69
  5. Step 5: Solve for x
    x = 260,027,083.69/24,581.34
  6. Step 6: Final answer
    x = 10,578.23

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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.