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Finding the Fourth Proportional to 14,188.86, 21,284.04 and 3,658.98

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Solution

The fourth proportional to 14,188.86, 21,284.04 and 3,658.98 is: 5,488.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,188.86 : 21,284.04 = 3,658.98 : x
  2. Step 2: Convert to fraction form
    14,188.86/21,284.04 = 3,658.98/x
  3. Step 3: Cross multiply
    14,188.86x = 21,284.04 × 3,658.98
  4. Step 4: Simplify right side
    14,188.86x = 77,877,876.68
  5. Step 5: Solve for x
    x = 77,877,876.68/14,188.86
  6. Step 6: Final answer
    x = 5,488.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.