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Finding the Fourth Proportional to 17,456.90, 24,090.97 and 9,901.77

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Solution

The fourth proportional to 17,456.90, 24,090.97 and 9,901.77 is: 13,664.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,456.90 : 24,090.97 = 9,901.77 : x
  2. Step 2: Convert to fraction form
    17,456.90/24,090.97 = 9,901.77/x
  3. Step 3: Cross multiply
    17,456.90x = 24,090.97 × 9,901.77
  4. Step 4: Simplify right side
    17,456.90x = 238,543,244.02
  5. Step 5: Solve for x
    x = 238,543,244.02/17,456.90
  6. Step 6: Final answer
    x = 13,664.70

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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.