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Finding the Fourth Proportional to 17,867.94, 24,656.52 and 9,909.84

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Solution

The fourth proportional to 17,867.94, 24,656.52 and 9,909.84 is: 13,674.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,867.94 : 24,656.52 = 9,909.84 : x
  2. Step 2: Convert to fraction form
    17,867.94/24,656.52 = 9,909.84/x
  3. Step 3: Cross multiply
    17,867.94x = 24,656.52 × 9,909.84
  4. Step 4: Simplify right side
    17,867.94x = 244,342,168.16
  5. Step 5: Solve for x
    x = 244,342,168.16/17,867.94
  6. Step 6: Final answer
    x = 13,674.89

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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.