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Finding the Fourth Proportional to 17,252, 23,807.76 and 9,800

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Solution

The fourth proportional to 17,252, 23,807.76 and 9,800 is: 13,524.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,252 : 23,807.76 = 9,800 : x
  2. Step 2: Convert to fraction form
    17,252/23,807.76 = 9,800/x
  3. Step 3: Cross multiply
    17,252x = 23,807.76 × 9,800
  4. Step 4: Simplify right side
    17,252x = 233,316,048.00
  5. Step 5: Solve for x
    x = 233,316,048.00/17,252
  6. Step 6: Final answer
    x = 13,524.00

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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.