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Finding the Fourth Proportional to 16,014.17, 22,097.87 and 9,298.49

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Solution

The fourth proportional to 16,014.17, 22,097.87 and 9,298.49 is: 12,830.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,014.17 : 22,097.87 = 9,298.49 : x
  2. Step 2: Convert to fraction form
    16,014.17/22,097.87 = 9,298.49/x
  3. Step 3: Cross multiply
    16,014.17x = 22,097.87 × 9,298.49
  4. Step 4: Simplify right side
    16,014.17x = 205,476,794.84
  5. Step 5: Solve for x
    x = 205,476,794.84/16,014.17
  6. Step 6: Final answer
    x = 12,830.93

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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.