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Finding the Fourth Proportional to 17,540.16, 24,208.16 and 11,259.20

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Solution

The fourth proportional to 17,540.16, 24,208.16 and 11,259.20 is: 15,539.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,540.16 : 24,208.16 = 11,259.20 : x
  2. Step 2: Convert to fraction form
    17,540.16/24,208.16 = 11,259.20/x
  3. Step 3: Cross multiply
    17,540.16x = 24,208.16 × 11,259.20
  4. Step 4: Simplify right side
    17,540.16x = 272,564,515.07
  5. Step 5: Solve for x
    x = 272,564,515.07/17,540.16
  6. Step 6: Final answer
    x = 15,539.45

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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.