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Finding the Fourth Proportional to 14,531.93, 20,048.90 and 9,499.05

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Solution

The fourth proportional to 14,531.93, 20,048.90 and 9,499.05 is: 13,105.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,531.93 : 20,048.90 = 9,499.05 : x
  2. Step 2: Convert to fraction form
    14,531.93/20,048.90 = 9,499.05/x
  3. Step 3: Cross multiply
    14,531.93x = 20,048.90 × 9,499.05
  4. Step 4: Simplify right side
    14,531.93x = 190,445,456.05
  5. Step 5: Solve for x
    x = 190,445,456.05/14,531.93
  6. Step 6: Final answer
    x = 13,105.32

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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.