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Finding the Fourth Proportional to 15,993.56, 22,051.50 and 13,151

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Solution

The fourth proportional to 15,993.56, 22,051.50 and 13,151 is: 18,132.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,993.56 : 22,051.50 = 13,151 : x
  2. Step 2: Convert to fraction form
    15,993.56/22,051.50 = 13,151/x
  3. Step 3: Cross multiply
    15,993.56x = 22,051.50 × 13,151
  4. Step 4: Simplify right side
    15,993.56x = 289,999,276.50
  5. Step 5: Solve for x
    x = 289,999,276.50/15,993.56
  6. Step 6: Final answer
    x = 18,132.25

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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.