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Finding the Fourth Proportional to 17,778.41, 24,646.53 and 16,830.36

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Solution

The fourth proportional to 17,778.41, 24,646.53 and 16,830.36 is: 23,332.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,778.41 : 24,646.53 = 16,830.36 : x
  2. Step 2: Convert to fraction form
    17,778.41/24,646.53 = 16,830.36/x
  3. Step 3: Cross multiply
    17,778.41x = 24,646.53 × 16,830.36
  4. Step 4: Simplify right side
    17,778.41x = 414,810,065.08
  5. Step 5: Solve for x
    x = 414,810,065.08/17,778.41
  6. Step 6: Final answer
    x = 23,332.24

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.