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Finding the Fourth Proportional to 26,452.62, 36,500.76 and 15,840

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Solution

The fourth proportional to 26,452.62, 36,500.76 and 15,840 is: 21,856.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,452.62 : 36,500.76 = 15,840 : x
  2. Step 2: Convert to fraction form
    26,452.62/36,500.76 = 15,840/x
  3. Step 3: Cross multiply
    26,452.62x = 36,500.76 × 15,840
  4. Step 4: Simplify right side
    26,452.62x = 578,172,038.40
  5. Step 5: Solve for x
    x = 578,172,038.40/26,452.62
  6. Step 6: Final answer
    x = 21,856.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.