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Finding the Fourth Proportional to 15,353, 21,187.38 and 9,771.56

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Solution

The fourth proportional to 15,353, 21,187.38 and 9,771.56 is: 13,484.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,353 : 21,187.38 = 9,771.56 : x
  2. Step 2: Convert to fraction form
    15,353/21,187.38 = 9,771.56/x
  3. Step 3: Cross multiply
    15,353x = 21,187.38 × 9,771.56
  4. Step 4: Simplify right side
    15,353x = 207,033,754.91
  5. Step 5: Solve for x
    x = 207,033,754.91/15,353
  6. Step 6: Final answer
    x = 13,484.91

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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.