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Finding the Fourth Proportional to 13,128.18, 18,114.75 and 7,823.22

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Solution

The fourth proportional to 13,128.18, 18,114.75 and 7,823.22 is: 10,794.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,128.18 : 18,114.75 = 7,823.22 : x
  2. Step 2: Convert to fraction form
    13,128.18/18,114.75 = 7,823.22/x
  3. Step 3: Cross multiply
    13,128.18x = 18,114.75 × 7,823.22
  4. Step 4: Simplify right side
    13,128.18x = 141,715,674.50
  5. Step 5: Solve for x
    x = 141,715,674.50/13,128.18
  6. Step 6: Final answer
    x = 10,794.77

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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.