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Finding the Fourth Proportional to 16,114.57, 22,238.49 and 9,041.52

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Solution

The fourth proportional to 16,114.57, 22,238.49 and 9,041.52 is: 12,477.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,114.57 : 22,238.49 = 9,041.52 : x
  2. Step 2: Convert to fraction form
    16,114.57/22,238.49 = 9,041.52/x
  3. Step 3: Cross multiply
    16,114.57x = 22,238.49 × 9,041.52
  4. Step 4: Simplify right side
    16,114.57x = 201,069,752.10
  5. Step 5: Solve for x
    x = 201,069,752.10/16,114.57
  6. Step 6: Final answer
    x = 12,477.51

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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.