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Finding the Fourth Proportional to 17,657.13, 24,366.99 and 9,699.54

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Solution

The fourth proportional to 17,657.13, 24,366.99 and 9,699.54 is: 13,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,657.13 : 24,366.99 = 9,699.54 : x
  2. Step 2: Convert to fraction form
    17,657.13/24,366.99 = 9,699.54/x
  3. Step 3: Cross multiply
    17,657.13x = 24,366.99 × 9,699.54
  4. Step 4: Simplify right side
    17,657.13x = 236,348,594.18
  5. Step 5: Solve for x
    x = 236,348,594.18/17,657.13
  6. Step 6: Final answer
    x = 13,385.45

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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.