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Finding the Fourth Proportional to 16,502.16, 22,763.78 and 9,781.32

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Solution

The fourth proportional to 16,502.16, 22,763.78 and 9,781.32 is: 13,492.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.16 : 22,763.78 = 9,781.32 : x
  2. Step 2: Convert to fraction form
    16,502.16/22,763.78 = 9,781.32/x
  3. Step 3: Cross multiply
    16,502.16x = 22,763.78 × 9,781.32
  4. Step 4: Simplify right side
    16,502.16x = 222,659,816.59
  5. Step 5: Solve for x
    x = 222,659,816.59/16,502.16
  6. Step 6: Final answer
    x = 13,492.77

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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.