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Finding the Fourth Proportional to 36,285.76, 54,417.12 and 11,656

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Solution

The fourth proportional to 36,285.76, 54,417.12 and 11,656 is: 17,480.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,285.76 : 54,417.12 = 11,656 : x
  2. Step 2: Convert to fraction form
    36,285.76/54,417.12 = 11,656/x
  3. Step 3: Cross multiply
    36,285.76x = 54,417.12 × 11,656
  4. Step 4: Simplify right side
    36,285.76x = 634,285,950.72
  5. Step 5: Solve for x
    x = 634,285,950.72/36,285.76
  6. Step 6: Final answer
    x = 17,480.30

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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.