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Finding the Fourth Proportional to 14,805.15, 20,444.75 and 9,509.19

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Solution

The fourth proportional to 14,805.15, 20,444.75 and 9,509.19 is: 13,131.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,805.15 : 20,444.75 = 9,509.19 : x
  2. Step 2: Convert to fraction form
    14,805.15/20,444.75 = 9,509.19/x
  3. Step 3: Cross multiply
    14,805.15x = 20,444.75 × 9,509.19
  4. Step 4: Simplify right side
    14,805.15x = 194,413,012.25
  5. Step 5: Solve for x
    x = 194,413,012.25/14,805.15
  6. Step 6: Final answer
    x = 13,131.44

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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.