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Finding the Fourth Proportional to 34,886.16, 52,317 and 11,506.32

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Solution

The fourth proportional to 34,886.16, 52,317 and 11,506.32 is: 17,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,886.16 : 52,317 = 11,506.32 : x
  2. Step 2: Convert to fraction form
    34,886.16/52,317 = 11,506.32/x
  3. Step 3: Cross multiply
    34,886.16x = 52,317 × 11,506.32
  4. Step 4: Simplify right side
    34,886.16x = 601,976,143.44
  5. Step 5: Solve for x
    x = 601,976,143.44/34,886.16
  6. Step 6: Final answer
    x = 17,255.44

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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.