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Finding the Fourth Proportional to 19,806.32, 27,332.73 and 10,854.18

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Solution

The fourth proportional to 19,806.32, 27,332.73 and 10,854.18 is: 14,978.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.32 : 27,332.73 = 10,854.18 : x
  2. Step 2: Convert to fraction form
    19,806.32/27,332.73 = 10,854.18/x
  3. Step 3: Cross multiply
    19,806.32x = 27,332.73 × 10,854.18
  4. Step 4: Simplify right side
    19,806.32x = 296,674,371.31
  5. Step 5: Solve for x
    x = 296,674,371.31/19,806.32
  6. Step 6: Final answer
    x = 14,978.77

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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.