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Finding the Fourth Proportional to 15,759.63, 21,748.14 and 9,471.96

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Solution

The fourth proportional to 15,759.63, 21,748.14 and 9,471.96 is: 13,071.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,759.63 : 21,748.14 = 9,471.96 : x
  2. Step 2: Convert to fraction form
    15,759.63/21,748.14 = 9,471.96/x
  3. Step 3: Cross multiply
    15,759.63x = 21,748.14 × 9,471.96
  4. Step 4: Simplify right side
    15,759.63x = 205,997,512.15
  5. Step 5: Solve for x
    x = 205,997,512.15/15,759.63
  6. Step 6: Final answer
    x = 13,071.22

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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.