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Finding the Fourth Proportional to 19,838.81, 27,378.16 and 10,886.90

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Solution

The fourth proportional to 19,838.81, 27,378.16 and 10,886.90 is: 15,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,838.81 : 27,378.16 = 10,886.90 : x
  2. Step 2: Convert to fraction form
    19,838.81/27,378.16 = 10,886.90/x
  3. Step 3: Cross multiply
    19,838.81x = 27,378.16 × 10,886.90
  4. Step 4: Simplify right side
    19,838.81x = 298,063,153.21
  5. Step 5: Solve for x
    x = 298,063,153.21/19,838.81
  6. Step 6: Final answer
    x = 15,024.25

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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.