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Finding the Fourth Proportional to 22,097.17, 30,484 and 13,139.57

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Solution

The fourth proportional to 22,097.17, 30,484 and 13,139.57 is: 18,126.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,097.17 : 30,484 = 13,139.57 : x
  2. Step 2: Convert to fraction form
    22,097.17/30,484 = 13,139.57/x
  3. Step 3: Cross multiply
    22,097.17x = 30,484 × 13,139.57
  4. Step 4: Simplify right side
    22,097.17x = 400,546,651.88
  5. Step 5: Solve for x
    x = 400,546,651.88/22,097.17
  6. Step 6: Final answer
    x = 18,126.60

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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.