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Finding the Fourth Proportional to 35,282.88, 52,887 and 11,584.20

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Solution

The fourth proportional to 35,282.88, 52,887 and 11,584.20 is: 17,364.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,282.88 : 52,887 = 11,584.20 : x
  2. Step 2: Convert to fraction form
    35,282.88/52,887 = 11,584.20/x
  3. Step 3: Cross multiply
    35,282.88x = 52,887 × 11,584.20
  4. Step 4: Simplify right side
    35,282.88x = 612,653,585.40
  5. Step 5: Solve for x
    x = 612,653,585.40/35,282.88
  6. Step 6: Final answer
    x = 17,364.05

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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.