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Finding the Fourth Proportional to 15,630.92, 21,571.38 and 9,657.98

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Solution

The fourth proportional to 15,630.92, 21,571.38 and 9,657.98 is: 13,328.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,630.92 : 21,571.38 = 9,657.98 : x
  2. Step 2: Convert to fraction form
    15,630.92/21,571.38 = 9,657.98/x
  3. Step 3: Cross multiply
    15,630.92x = 21,571.38 × 9,657.98
  4. Step 4: Simplify right side
    15,630.92x = 208,335,956.61
  5. Step 5: Solve for x
    x = 208,335,956.61/15,630.92
  6. Step 6: Final answer
    x = 13,328.45

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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.