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Finding the Fourth Proportional to 25,758.48, 38,640 and 10,172.40

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Solution

The fourth proportional to 25,758.48, 38,640 and 10,172.40 is: 15,259.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,758.48 : 38,640 = 10,172.40 : x
  2. Step 2: Convert to fraction form
    25,758.48/38,640 = 10,172.40/x
  3. Step 3: Cross multiply
    25,758.48x = 38,640 × 10,172.40
  4. Step 4: Simplify right side
    25,758.48x = 393,061,536
  5. Step 5: Solve for x
    x = 393,061,536/25,758.48
  6. Step 6: Final answer
    x = 15,259.50

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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.