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Finding the Fourth Proportional to 17,264.57, 23,824.98 and 9,812.57

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Solution

The fourth proportional to 17,264.57, 23,824.98 and 9,812.57 is: 13,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,264.57 : 23,824.98 = 9,812.57 : x
  2. Step 2: Convert to fraction form
    17,264.57/23,824.98 = 9,812.57/x
  3. Step 3: Cross multiply
    17,264.57x = 23,824.98 × 9,812.57
  4. Step 4: Simplify right side
    17,264.57x = 233,784,343.56
  5. Step 5: Solve for x
    x = 233,784,343.56/17,264.57
  6. Step 6: Final answer
    x = 13,541.28

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1.5x scale

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.