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Finding the Fourth Proportional to 17,538.86, 24,199.29 and 11,259.74

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Solution

The fourth proportional to 17,538.86, 24,199.29 and 11,259.74 is: 15,535.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,538.86 : 24,199.29 = 11,259.74 : x
  2. Step 2: Convert to fraction form
    17,538.86/24,199.29 = 11,259.74/x
  3. Step 3: Cross multiply
    17,538.86x = 24,199.29 × 11,259.74
  4. Step 4: Simplify right side
    17,538.86x = 272,477,713.58
  5. Step 5: Solve for x
    x = 272,477,713.58/17,538.86
  6. Step 6: Final answer
    x = 15,535.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.