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Finding the Fourth Proportional to 19,616.50, 27,071.04 and 11,233

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Solution

The fourth proportional to 19,616.50, 27,071.04 and 11,233 is: 15,501.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,616.50 : 27,071.04 = 11,233 : x
  2. Step 2: Convert to fraction form
    19,616.50/27,071.04 = 11,233/x
  3. Step 3: Cross multiply
    19,616.50x = 27,071.04 × 11,233
  4. Step 4: Simplify right side
    19,616.50x = 304,088,992.32
  5. Step 5: Solve for x
    x = 304,088,992.32/19,616.50
  6. Step 6: Final answer
    x = 15,501.69

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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.