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Finding the Fourth Proportional to 17,866.21, 24,656.89 and 9,911

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Solution

The fourth proportional to 17,866.21, 24,656.89 and 9,911 is: 13,678.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866.21 : 24,656.89 = 9,911 : x
  2. Step 2: Convert to fraction form
    17,866.21/24,656.89 = 9,911/x
  3. Step 3: Cross multiply
    17,866.21x = 24,656.89 × 9,911
  4. Step 4: Simplify right side
    17,866.21x = 244,374,412.01
  5. Step 5: Solve for x
    x = 244,374,412.01/17,866.21
  6. Step 6: Final answer
    x = 13,678.02

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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.