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Finding the Fourth Proportional to 17,637.78, 24,341.23 and 11,659.08

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Solution

The fourth proportional to 17,637.78, 24,341.23 and 11,659.08 is: 16,090.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,637.78 : 24,341.23 = 11,659.08 : x
  2. Step 2: Convert to fraction form
    17,637.78/24,341.23 = 11,659.08/x
  3. Step 3: Cross multiply
    17,637.78x = 24,341.23 × 11,659.08
  4. Step 4: Simplify right side
    17,637.78x = 283,796,347.87
  5. Step 5: Solve for x
    x = 283,796,347.87/17,637.78
  6. Step 6: Final answer
    x = 16,090.25

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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.