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Finding the Fourth Proportional to 15,775.69, 21,768.87 and 9,314.32

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Solution

The fourth proportional to 15,775.69, 21,768.87 and 9,314.32 is: 12,852.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775.69 : 21,768.87 = 9,314.32 : x
  2. Step 2: Convert to fraction form
    15,775.69/21,768.87 = 9,314.32/x
  3. Step 3: Cross multiply
    15,775.69x = 21,768.87 × 9,314.32
  4. Step 4: Simplify right side
    15,775.69x = 202,762,166.80
  5. Step 5: Solve for x
    x = 202,762,166.80/15,775.69
  6. Step 6: Final answer
    x = 12,852.83

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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.