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Finding the Fourth Proportional to 11,358.41, 17,017.46 and 9,698.18

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Solution

The fourth proportional to 11,358.41, 17,017.46 and 9,698.18 is: 14,530.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,358.41 : 17,017.46 = 9,698.18 : x
  2. Step 2: Convert to fraction form
    11,358.41/17,017.46 = 9,698.18/x
  3. Step 3: Cross multiply
    11,358.41x = 17,017.46 × 9,698.18
  4. Step 4: Simplify right side
    11,358.41x = 165,038,341.73
  5. Step 5: Solve for x
    x = 165,038,341.73/11,358.41
  6. Step 6: Final answer
    x = 14,530.06

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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.