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Finding the Fourth Proportional to 14,577.68, 20,117.27 and 8,290.05

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Solution

The fourth proportional to 14,577.68, 20,117.27 and 8,290.05 is: 11,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,577.68 : 20,117.27 = 8,290.05 : x
  2. Step 2: Convert to fraction form
    14,577.68/20,117.27 = 8,290.05/x
  3. Step 3: Cross multiply
    14,577.68x = 20,117.27 × 8,290.05
  4. Step 4: Simplify right side
    14,577.68x = 166,773,174.16
  5. Step 5: Solve for x
    x = 166,773,174.16/14,577.68
  6. Step 6: Final answer
    x = 11,440.31

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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.