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Finding the Fourth Proportional to 16,148.44, 22,283.74 and 9,075.93

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Solution

The fourth proportional to 16,148.44, 22,283.74 and 9,075.93 is: 12,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.44 : 22,283.74 = 9,075.93 : x
  2. Step 2: Convert to fraction form
    16,148.44/22,283.74 = 9,075.93/x
  3. Step 3: Cross multiply
    16,148.44x = 22,283.74 × 9,075.93
  4. Step 4: Simplify right side
    16,148.44x = 202,245,664.38
  5. Step 5: Solve for x
    x = 202,245,664.38/16,148.44
  6. Step 6: Final answer
    x = 12,524.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.