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Finding the Fourth Proportional to 13,114.58, 19,649.99 and 9,212.00

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Solution

The fourth proportional to 13,114.58, 19,649.99 and 9,212.00 is: 13,802.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,114.58 : 19,649.99 = 9,212.00 : x
  2. Step 2: Convert to fraction form
    13,114.58/19,649.99 = 9,212.00/x
  3. Step 3: Cross multiply
    13,114.58x = 19,649.99 × 9,212.00
  4. Step 4: Simplify right side
    13,114.58x = 181,015,632.66
  5. Step 5: Solve for x
    x = 181,015,632.66/13,114.58
  6. Step 6: Final answer
    x = 13,802.63

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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.