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Finding the Fourth Proportional to 19,712.57, 29,581.53 and 7,864.32

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Solution

The fourth proportional to 19,712.57, 29,581.53 and 7,864.32 is: 11,801.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,712.57 : 29,581.53 = 7,864.32 : x
  2. Step 2: Convert to fraction form
    19,712.57/29,581.53 = 7,864.32/x
  3. Step 3: Cross multiply
    19,712.57x = 29,581.53 × 7,864.32
  4. Step 4: Simplify right side
    19,712.57x = 232,638,618.01
  5. Step 5: Solve for x
    x = 232,638,618.01/19,712.57
  6. Step 6: Final answer
    x = 11,801.54

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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.