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Finding the Fourth Proportional to 17,258.42, 25,913.56 and 9,871.22

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Solution

The fourth proportional to 17,258.42, 25,913.56 and 9,871.22 is: 14,821.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,258.42 : 25,913.56 = 9,871.22 : x
  2. Step 2: Convert to fraction form
    17,258.42/25,913.56 = 9,871.22/x
  3. Step 3: Cross multiply
    17,258.42x = 25,913.56 × 9,871.22
  4. Step 4: Simplify right side
    17,258.42x = 255,798,451.74
  5. Step 5: Solve for x
    x = 255,798,451.74/17,258.42
  6. Step 6: Final answer
    x = 14,821.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.