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Finding the Fourth Proportional to 22,046.56, 30,419.52 and 13,097.08

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Solution

The fourth proportional to 22,046.56, 30,419.52 and 13,097.08 is: 18,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,046.56 : 30,419.52 = 13,097.08 : x
  2. Step 2: Convert to fraction form
    22,046.56/30,419.52 = 13,097.08/x
  3. Step 3: Cross multiply
    22,046.56x = 30,419.52 × 13,097.08
  4. Step 4: Simplify right side
    22,046.56x = 398,406,887.00
  5. Step 5: Solve for x
    x = 398,406,887.00/22,046.56
  6. Step 6: Final answer
    x = 18,071.16

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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.