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Finding the Fourth Proportional to 22,589.81, 31,173.11 and 13,030.10

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Solution

The fourth proportional to 22,589.81, 31,173.11 and 13,030.10 is: 17,981.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,589.81 : 31,173.11 = 13,030.10 : x
  2. Step 2: Convert to fraction form
    22,589.81/31,173.11 = 13,030.10/x
  3. Step 3: Cross multiply
    22,589.81x = 31,173.11 × 13,030.10
  4. Step 4: Simplify right side
    22,589.81x = 406,188,519.59
  5. Step 5: Solve for x
    x = 406,188,519.59/22,589.81
  6. Step 6: Final answer
    x = 17,981.05

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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.