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Finding the Fourth Proportional to 17,767.24, 24,502.96 and 11,473

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Solution

The fourth proportional to 17,767.24, 24,502.96 and 11,473 is: 15,822.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,767.24 : 24,502.96 = 11,473 : x
  2. Step 2: Convert to fraction form
    17,767.24/24,502.96 = 11,473/x
  3. Step 3: Cross multiply
    17,767.24x = 24,502.96 × 11,473
  4. Step 4: Simplify right side
    17,767.24x = 281,122,460.08
  5. Step 5: Solve for x
    x = 281,122,460.08/17,767.24
  6. Step 6: Final answer
    x = 15,822.52

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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.