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Finding the Fourth Proportional to 28,462.59, 42,682.01 and 9,738.81

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Solution

The fourth proportional to 28,462.59, 42,682.01 and 9,738.81 is: 14,604.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,462.59 : 42,682.01 = 9,738.81 : x
  2. Step 2: Convert to fraction form
    28,462.59/42,682.01 = 9,738.81/x
  3. Step 3: Cross multiply
    28,462.59x = 42,682.01 × 9,738.81
  4. Step 4: Simplify right side
    28,462.59x = 415,671,937.11
  5. Step 5: Solve for x
    x = 415,671,937.11/28,462.59
  6. Step 6: Final answer
    x = 14,604.15

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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.