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Finding the Fourth Proportional to 13,135.23, 18,126.18 and 7,827.30

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Solution

The fourth proportional to 13,135.23, 18,126.18 and 7,827.30 is: 10,801.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,135.23 : 18,126.18 = 7,827.30 : x
  2. Step 2: Convert to fraction form
    13,135.23/18,126.18 = 7,827.30/x
  3. Step 3: Cross multiply
    13,135.23x = 18,126.18 × 7,827.30
  4. Step 4: Simplify right side
    13,135.23x = 141,879,048.71
  5. Step 5: Solve for x
    x = 141,879,048.71/13,135.23
  6. Step 6: Final answer
    x = 10,801.41

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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.