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Finding the Fourth Proportional to 10,266.66, 15,412.74 and 10,219.28

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Solution

The fourth proportional to 10,266.66, 15,412.74 and 10,219.28 is: 15,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266.66 : 15,412.74 = 10,219.28 : x
  2. Step 2: Convert to fraction form
    10,266.66/15,412.74 = 10,219.28/x
  3. Step 3: Cross multiply
    10,266.66x = 15,412.74 × 10,219.28
  4. Step 4: Simplify right side
    10,266.66x = 157,507,105.63
  5. Step 5: Solve for x
    x = 157,507,105.63/10,266.66
  6. Step 6: Final answer
    x = 15,341.61

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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.