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Finding the Fourth Proportional to 19,856.80, 27,402.40 and 10,782.16

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Solution

The fourth proportional to 19,856.80, 27,402.40 and 10,782.16 is: 14,879.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,856.80 : 27,402.40 = 10,782.16 : x
  2. Step 2: Convert to fraction form
    19,856.80/27,402.40 = 10,782.16/x
  3. Step 3: Cross multiply
    19,856.80x = 27,402.40 × 10,782.16
  4. Step 4: Simplify right side
    19,856.80x = 295,457,160.29
  5. Step 5: Solve for x
    x = 295,457,160.29/19,856.80
  6. Step 6: Final answer
    x = 14,879.40

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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.