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Finding the Fourth Proportional to 22,746.36, 34,093.65 and 13,842.05

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Solution

The fourth proportional to 22,746.36, 34,093.65 and 13,842.05 is: 20,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,746.36 : 34,093.65 = 13,842.05 : x
  2. Step 2: Convert to fraction form
    22,746.36/34,093.65 = 13,842.05/x
  3. Step 3: Cross multiply
    22,746.36x = 34,093.65 × 13,842.05
  4. Step 4: Simplify right side
    22,746.36x = 471,925,837.51
  5. Step 5: Solve for x
    x = 471,925,837.51/22,746.36
  6. Step 6: Final answer
    x = 20,747.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.