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Finding the Fourth Proportional to 15,777.14, 21,770.91 and 8,703.50

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Solution

The fourth proportional to 15,777.14, 21,770.91 and 8,703.50 is: 12,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777.14 : 21,770.91 = 8,703.50 : x
  2. Step 2: Convert to fraction form
    15,777.14/21,770.91 = 8,703.50/x
  3. Step 3: Cross multiply
    15,777.14x = 21,770.91 × 8,703.50
  4. Step 4: Simplify right side
    15,777.14x = 189,483,006.33
  5. Step 5: Solve for x
    x = 189,483,006.33/15,777.14
  6. Step 6: Final answer
    x = 12,009.98

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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.