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Finding the Fourth Proportional to 16,148.77, 22,285.16 and 9,075.17

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Solution

The fourth proportional to 16,148.77, 22,285.16 and 9,075.17 is: 12,523.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.77 : 22,285.16 = 9,075.17 : x
  2. Step 2: Convert to fraction form
    16,148.77/22,285.16 = 9,075.17/x
  3. Step 3: Cross multiply
    16,148.77x = 22,285.16 × 9,075.17
  4. Step 4: Simplify right side
    16,148.77x = 202,241,659.85
  5. Step 5: Solve for x
    x = 202,241,659.85/16,148.77
  6. Step 6: Final answer
    x = 12,523.66

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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.