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Finding the Fourth Proportional to 17,870.50, 24,662.87 and 9,914.28

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Solution

The fourth proportional to 17,870.50, 24,662.87 and 9,914.28 is: 13,682.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,870.50 : 24,662.87 = 9,914.28 : x
  2. Step 2: Convert to fraction form
    17,870.50/24,662.87 = 9,914.28/x
  3. Step 3: Cross multiply
    17,870.50x = 24,662.87 × 9,914.28
  4. Step 4: Simplify right side
    17,870.50x = 244,514,598.78
  5. Step 5: Solve for x
    x = 244,514,598.78/17,870.50
  6. Step 6: Final answer
    x = 13,682.58

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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.