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Finding the Fourth Proportional to 23,774.82, 32,808.51 and 13,019.22

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Solution

The fourth proportional to 23,774.82, 32,808.51 and 13,019.22 is: 17,966.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,774.82 : 32,808.51 = 13,019.22 : x
  2. Step 2: Convert to fraction form
    23,774.82/32,808.51 = 13,019.22/x
  3. Step 3: Cross multiply
    23,774.82x = 32,808.51 × 13,019.22
  4. Step 4: Simplify right side
    23,774.82x = 427,141,209.56
  5. Step 5: Solve for x
    x = 427,141,209.56/23,774.82
  6. Step 6: Final answer
    x = 17,966.12

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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.