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Finding the Fourth Proportional to 14,710.41, 22,035.14 and 7,191.33

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Solution

The fourth proportional to 14,710.41, 22,035.14 and 7,191.33 is: 10,772.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,710.41 : 22,035.14 = 7,191.33 : x
  2. Step 2: Convert to fraction form
    14,710.41/22,035.14 = 7,191.33/x
  3. Step 3: Cross multiply
    14,710.41x = 22,035.14 × 7,191.33
  4. Step 4: Simplify right side
    14,710.41x = 158,461,995.66
  5. Step 5: Solve for x
    x = 158,461,995.66/14,710.41
  6. Step 6: Final answer
    x = 10,772.10

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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.