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Finding the Fourth Proportional to 13,291.66, 18,327.27 and 9,928.81

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Solution

The fourth proportional to 13,291.66, 18,327.27 and 9,928.81 is: 13,690.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,291.66 : 18,327.27 = 9,928.81 : x
  2. Step 2: Convert to fraction form
    13,291.66/18,327.27 = 9,928.81/x
  3. Step 3: Cross multiply
    13,291.66x = 18,327.27 × 9,928.81
  4. Step 4: Simplify right side
    13,291.66x = 181,967,981.65
  5. Step 5: Solve for x
    x = 181,967,981.65/13,291.66
  6. Step 6: Final answer
    x = 13,690.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.