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Finding the Fourth Proportional to 15,689.40, 21,657.54 and 9,400.56

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Solution

The fourth proportional to 15,689.40, 21,657.54 and 9,400.56 is: 12,976.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,689.40 : 21,657.54 = 9,400.56 : x
  2. Step 2: Convert to fraction form
    15,689.40/21,657.54 = 9,400.56/x
  3. Step 3: Cross multiply
    15,689.40x = 21,657.54 × 9,400.56
  4. Step 4: Simplify right side
    15,689.40x = 203,593,004.22
  5. Step 5: Solve for x
    x = 203,593,004.22/15,689.40
  6. Step 6: Final answer
    x = 12,976.47

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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.