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Finding the Fourth Proportional to 22,975.38, 31,704.90 and 12,902.58

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Solution

The fourth proportional to 22,975.38, 31,704.90 and 12,902.58 is: 17,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,975.38 : 31,704.90 = 12,902.58 : x
  2. Step 2: Convert to fraction form
    22,975.38/31,704.90 = 12,902.58/x
  3. Step 3: Cross multiply
    22,975.38x = 31,704.90 × 12,902.58
  4. Step 4: Simplify right side
    22,975.38x = 409,075,008.64
  5. Step 5: Solve for x
    x = 409,075,008.64/22,975.38
  6. Step 6: Final answer
    x = 17,804.93

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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.