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Finding the Fourth Proportional to 14,250.18, 19,666.34 and 8,202.28

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Solution

The fourth proportional to 14,250.18, 19,666.34 and 8,202.28 is: 11,319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,250.18 : 19,666.34 = 8,202.28 : x
  2. Step 2: Convert to fraction form
    14,250.18/19,666.34 = 8,202.28/x
  3. Step 3: Cross multiply
    14,250.18x = 19,666.34 × 8,202.28
  4. Step 4: Simplify right side
    14,250.18x = 161,308,741.93
  5. Step 5: Solve for x
    x = 161,308,741.93/14,250.18
  6. Step 6: Final answer
    x = 11,319.77

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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.