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Finding the Fourth Proportional to 34,596.17, 51,894.30 and 9,636.29

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Solution

The fourth proportional to 34,596.17, 51,894.30 and 9,636.29 is: 14,454.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,596.17 : 51,894.30 = 9,636.29 : x
  2. Step 2: Convert to fraction form
    34,596.17/51,894.30 = 9,636.29/x
  3. Step 3: Cross multiply
    34,596.17x = 51,894.30 × 9,636.29
  4. Step 4: Simplify right side
    34,596.17x = 500,068,524.15
  5. Step 5: Solve for x
    x = 500,068,524.15/34,596.17
  6. Step 6: Final answer
    x = 14,454.45

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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.