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Finding the Fourth Proportional to 19,820.16, 27,345.96 and 11,322

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Solution

The fourth proportional to 19,820.16, 27,345.96 and 11,322 is: 15,621.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,820.16 : 27,345.96 = 11,322 : x
  2. Step 2: Convert to fraction form
    19,820.16/27,345.96 = 11,322/x
  3. Step 3: Cross multiply
    19,820.16x = 27,345.96 × 11,322
  4. Step 4: Simplify right side
    19,820.16x = 309,610,959.12
  5. Step 5: Solve for x
    x = 309,610,959.12/19,820.16
  6. Step 6: Final answer
    x = 15,621.01

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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.