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Finding the Fourth Proportional to 23,685.74, 32,685.46 and 13,075.14

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Solution

The fourth proportional to 23,685.74, 32,685.46 and 13,075.14 is: 18,043.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,685.74 : 32,685.46 = 13,075.14 : x
  2. Step 2: Convert to fraction form
    23,685.74/32,685.46 = 13,075.14/x
  3. Step 3: Cross multiply
    23,685.74x = 32,685.46 × 13,075.14
  4. Step 4: Simplify right side
    23,685.74x = 427,367,104.38
  5. Step 5: Solve for x
    x = 427,367,104.38/23,685.74
  6. Step 6: Final answer
    x = 18,043.22

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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.