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Finding the Fourth Proportional to 15,952.84, 22,015.70 and 9,665.80

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Solution

The fourth proportional to 15,952.84, 22,015.70 and 9,665.80 is: 13,339.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,952.84 : 22,015.70 = 9,665.80 : x
  2. Step 2: Convert to fraction form
    15,952.84/22,015.70 = 9,665.80/x
  3. Step 3: Cross multiply
    15,952.84x = 22,015.70 × 9,665.80
  4. Step 4: Simplify right side
    15,952.84x = 212,799,353.06
  5. Step 5: Solve for x
    x = 212,799,353.06/15,952.84
  6. Step 6: Final answer
    x = 13,339.28

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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.