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Finding the Fourth Proportional to 15,707.74, 21,680.51 and 9,659.47

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Solution

The fourth proportional to 15,707.74, 21,680.51 and 9,659.47 is: 13,332.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,707.74 : 21,680.51 = 9,659.47 : x
  2. Step 2: Convert to fraction form
    15,707.74/21,680.51 = 9,659.47/x
  3. Step 3: Cross multiply
    15,707.74x = 21,680.51 × 9,659.47
  4. Step 4: Simplify right side
    15,707.74x = 209,422,228.42
  5. Step 5: Solve for x
    x = 209,422,228.42/15,707.74
  6. Step 6: Final answer
    x = 13,332.42

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