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Finding the Fourth Proportional to 16,097.95, 22,252.35 and 13,429.81

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Solution

The fourth proportional to 16,097.95, 22,252.35 and 13,429.81 is: 18,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.95 : 22,252.35 = 13,429.81 : x
  2. Step 2: Convert to fraction form
    16,097.95/22,252.35 = 13,429.81/x
  3. Step 3: Cross multiply
    16,097.95x = 22,252.35 × 13,429.81
  4. Step 4: Simplify right side
    16,097.95x = 298,844,832.55
  5. Step 5: Solve for x
    x = 298,844,832.55/16,097.95
  6. Step 6: Final answer
    x = 18,564.15

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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.