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Finding the Fourth Proportional to 12,564, 17,337.74 and 7,531.01

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Solution

The fourth proportional to 12,564, 17,337.74 and 7,531.01 is: 10,392.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564 : 17,337.74 = 7,531.01 : x
  2. Step 2: Convert to fraction form
    12,564/17,337.74 = 7,531.01/x
  3. Step 3: Cross multiply
    12,564x = 17,337.74 × 7,531.01
  4. Step 4: Simplify right side
    12,564x = 130,570,568.97
  5. Step 5: Solve for x
    x = 130,570,568.97/12,564
  6. Step 6: Final answer
    x = 10,392.44

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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.