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Finding the Fourth Proportional to 13,488.03, 18,613.65 and 7,823.01

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Solution

The fourth proportional to 13,488.03, 18,613.65 and 7,823.01 is: 10,795.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,488.03 : 18,613.65 = 7,823.01 : x
  2. Step 2: Convert to fraction form
    13,488.03/18,613.65 = 7,823.01/x
  3. Step 3: Cross multiply
    13,488.03x = 18,613.65 × 7,823.01
  4. Step 4: Simplify right side
    13,488.03x = 145,614,844.85
  5. Step 5: Solve for x
    x = 145,614,844.85/13,488.03
  6. Step 6: Final answer
    x = 10,795.86

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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.