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Finding the Fourth Proportional to 19,820.68, 27,352.60 and 10,746.07

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Solution

The fourth proportional to 19,820.68, 27,352.60 and 10,746.07 is: 14,829.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.68 : 27,352.60 = 10,746.07 : x
  2. Step 2: Convert to fraction form
    19,820.68/27,352.60 = 10,746.07/x
  3. Step 3: Cross multiply
    19,820.68x = 27,352.60 × 10,746.07
  4. Step 4: Simplify right side
    19,820.68x = 293,932,859.04
  5. Step 5: Solve for x
    x = 293,932,859.04/19,820.68
  6. Step 6: Final answer
    x = 14,829.61

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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.