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Finding the Fourth Proportional to 15,274, 22,903.62 and 5,907.16

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Solution

The fourth proportional to 15,274, 22,903.62 and 5,907.16 is: 8,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,274 : 22,903.62 = 5,907.16 : x
  2. Step 2: Convert to fraction form
    15,274/22,903.62 = 5,907.16/x
  3. Step 3: Cross multiply
    15,274x = 22,903.62 × 5,907.16
  4. Step 4: Simplify right side
    15,274x = 135,295,347.92
  5. Step 5: Solve for x
    x = 135,295,347.92/15,274
  6. Step 6: Final answer
    x = 8,857.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.