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Finding the Fourth Proportional to 19,821.76, 27,358.08 and 11,437.12

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Solution

The fourth proportional to 19,821.76, 27,358.08 and 11,437.12 is: 15,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,821.76 : 27,358.08 = 11,437.12 : x
  2. Step 2: Convert to fraction form
    19,821.76/27,358.08 = 11,437.12/x
  3. Step 3: Cross multiply
    19,821.76x = 27,358.08 × 11,437.12
  4. Step 4: Simplify right side
    19,821.76x = 312,897,643.93
  5. Step 5: Solve for x
    x = 312,897,643.93/19,821.76
  6. Step 6: Final answer
    x = 15,785.56

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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.