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Finding the Fourth Proportional to 19,856.52, 27,402.64 and 11,473.02

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Solution

The fourth proportional to 19,856.52, 27,402.64 and 11,473.02 is: 15,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.52 : 27,402.64 = 11,473.02 : x
  2. Step 2: Convert to fraction form
    19,856.52/27,402.64 = 11,473.02/x
  3. Step 3: Cross multiply
    19,856.52x = 27,402.64 × 11,473.02
  4. Step 4: Simplify right side
    19,856.52x = 314,391,008.09
  5. Step 5: Solve for x
    x = 314,391,008.09/19,856.52
  6. Step 6: Final answer
    x = 15,833.14

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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.