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Finding the Fourth Proportional to 13,119.17, 18,106.34 and 7,814.07

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Solution

The fourth proportional to 13,119.17, 18,106.34 and 7,814.07 is: 10,784.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,119.17 : 18,106.34 = 7,814.07 : x
  2. Step 2: Convert to fraction form
    13,119.17/18,106.34 = 7,814.07/x
  3. Step 3: Cross multiply
    13,119.17x = 18,106.34 × 7,814.07
  4. Step 4: Simplify right side
    13,119.17x = 141,484,169.13
  5. Step 5: Solve for x
    x = 141,484,169.13/13,119.17
  6. Step 6: Final answer
    x = 10,784.54

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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.