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Finding the Fourth Proportional to 15,205.86, 22,698.78 and 13,139.16

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Solution

The fourth proportional to 15,205.86, 22,698.78 and 13,139.16 is: 19,613.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.86 : 22,698.78 = 13,139.16 : x
  2. Step 2: Convert to fraction form
    15,205.86/22,698.78 = 13,139.16/x
  3. Step 3: Cross multiply
    15,205.86x = 22,698.78 × 13,139.16
  4. Step 4: Simplify right side
    15,205.86x = 298,242,902.22
  5. Step 5: Solve for x
    x = 298,242,902.22/15,205.86
  6. Step 6: Final answer
    x = 19,613.68

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.