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Finding the Fourth Proportional to 19,926.95, 27,469.15 and 16,384.01

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Solution

The fourth proportional to 19,926.95, 27,469.15 and 16,384.01 is: 22,585.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,926.95 : 27,469.15 = 16,384.01 : x
  2. Step 2: Convert to fraction form
    19,926.95/27,469.15 = 16,384.01/x
  3. Step 3: Cross multiply
    19,926.95x = 27,469.15 × 16,384.01
  4. Step 4: Simplify right side
    19,926.95x = 450,054,856.00
  5. Step 5: Solve for x
    x = 450,054,856.00/19,926.95
  6. Step 6: Final answer
    x = 22,585.23

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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.