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Finding the Fourth Proportional to 36,298.28, 54,412.86 and 11,657

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Solution

The fourth proportional to 36,298.28, 54,412.86 and 11,657 is: 17,474.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,298.28 : 54,412.86 = 11,657 : x
  2. Step 2: Convert to fraction form
    36,298.28/54,412.86 = 11,657/x
  3. Step 3: Cross multiply
    36,298.28x = 54,412.86 × 11,657
  4. Step 4: Simplify right side
    36,298.28x = 634,290,709.02
  5. Step 5: Solve for x
    x = 634,290,709.02/36,298.28
  6. Step 6: Final answer
    x = 17,474.40

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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.