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Finding the Fourth Proportional to 15,969.97, 22,038.78 and 9,165.10

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Solution

The fourth proportional to 15,969.97, 22,038.78 and 9,165.10 is: 12,647.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,969.97 : 22,038.78 = 9,165.10 : x
  2. Step 2: Convert to fraction form
    15,969.97/22,038.78 = 9,165.10/x
  3. Step 3: Cross multiply
    15,969.97x = 22,038.78 × 9,165.10
  4. Step 4: Simplify right side
    15,969.97x = 201,987,622.58
  5. Step 5: Solve for x
    x = 201,987,622.58/15,969.97
  6. Step 6: Final answer
    x = 12,647.97

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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.