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Finding the Fourth Proportional to 11,570.95, 17,348.62 and 9,352.46

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Solution

The fourth proportional to 11,570.95, 17,348.62 and 9,352.46 is: 14,022.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,570.95 : 17,348.62 = 9,352.46 : x
  2. Step 2: Convert to fraction form
    11,570.95/17,348.62 = 9,352.46/x
  3. Step 3: Cross multiply
    11,570.95x = 17,348.62 × 9,352.46
  4. Step 4: Simplify right side
    11,570.95x = 162,252,187.86
  5. Step 5: Solve for x
    x = 162,252,187.86/11,570.95
  6. Step 6: Final answer
    x = 14,022.38

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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.