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Finding the Fourth Proportional to 15,991, 22,081.14 and 10,032.52

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Solution

The fourth proportional to 15,991, 22,081.14 and 10,032.52 is: 13,853.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,991 : 22,081.14 = 10,032.52 : x
  2. Step 2: Convert to fraction form
    15,991/22,081.14 = 10,032.52/x
  3. Step 3: Cross multiply
    15,991x = 22,081.14 × 10,032.52
  4. Step 4: Simplify right side
    15,991x = 221,529,478.67
  5. Step 5: Solve for x
    x = 221,529,478.67/15,991
  6. Step 6: Final answer
    x = 13,853.38

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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.