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Finding the Fourth Proportional to 10,208.76, 15,188.86 and 10,174.20

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Solution

The fourth proportional to 10,208.76, 15,188.86 and 10,174.20 is: 15,137.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.76 : 15,188.86 = 10,174.20 : x
  2. Step 2: Convert to fraction form
    10,208.76/15,188.86 = 10,174.20/x
  3. Step 3: Cross multiply
    10,208.76x = 15,188.86 × 10,174.20
  4. Step 4: Simplify right side
    10,208.76x = 154,534,499.41
  5. Step 5: Solve for x
    x = 154,534,499.41/10,208.76
  6. Step 6: Final answer
    x = 15,137.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.