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Finding the Fourth Proportional to 26,705.32, 36,853.14 and 14,769.16

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Solution

The fourth proportional to 26,705.32, 36,853.14 and 14,769.16 is: 20,381.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,705.32 : 36,853.14 = 14,769.16 : x
  2. Step 2: Convert to fraction form
    26,705.32/36,853.14 = 14,769.16/x
  3. Step 3: Cross multiply
    26,705.32x = 36,853.14 × 14,769.16
  4. Step 4: Simplify right side
    26,705.32x = 544,289,921.16
  5. Step 5: Solve for x
    x = 544,289,921.16/26,705.32
  6. Step 6: Final answer
    x = 20,381.33

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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.