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Finding the Fourth Proportional to 28,461.68, 42,699.20 and 9,741.87

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Solution

The fourth proportional to 28,461.68, 42,699.20 and 9,741.87 is: 14,615.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,461.68 : 42,699.20 = 9,741.87 : x
  2. Step 2: Convert to fraction form
    28,461.68/42,699.20 = 9,741.87/x
  3. Step 3: Cross multiply
    28,461.68x = 42,699.20 × 9,741.87
  4. Step 4: Simplify right side
    28,461.68x = 415,970,061.59
  5. Step 5: Solve for x
    x = 415,970,061.59/28,461.68
  6. Step 6: Final answer
    x = 14,615.09

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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.