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Finding the Fourth Proportional to 15,943.84, 22,006.29 and 9,655

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Solution

The fourth proportional to 15,943.84, 22,006.29 and 9,655 is: 13,326.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,943.84 : 22,006.29 = 9,655 : x
  2. Step 2: Convert to fraction form
    15,943.84/22,006.29 = 9,655/x
  3. Step 3: Cross multiply
    15,943.84x = 22,006.29 × 9,655
  4. Step 4: Simplify right side
    15,943.84x = 212,470,729.95
  5. Step 5: Solve for x
    x = 212,470,729.95/15,943.84
  6. Step 6: Final answer
    x = 13,326.20

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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.