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Finding the Fourth Proportional to 15,770, 21,762.36 and 8,696.24

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Solution

The fourth proportional to 15,770, 21,762.36 and 8,696.24 is: 12,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,770 : 21,762.36 = 8,696.24 : x
  2. Step 2: Convert to fraction form
    15,770/21,762.36 = 8,696.24/x
  3. Step 3: Cross multiply
    15,770x = 21,762.36 × 8,696.24
  4. Step 4: Simplify right side
    15,770x = 189,250,705.53
  5. Step 5: Solve for x
    x = 189,250,705.53/15,770
  6. Step 6: Final answer
    x = 12,000.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.