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Finding the Fourth Proportional to 14,140.61, 21,210.90 and 3,610.64

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Solution

The fourth proportional to 14,140.61, 21,210.90 and 3,610.64 is: 5,415.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,140.61 : 21,210.90 = 3,610.64 : x
  2. Step 2: Convert to fraction form
    14,140.61/21,210.90 = 3,610.64/x
  3. Step 3: Cross multiply
    14,140.61x = 21,210.90 × 3,610.64
  4. Step 4: Simplify right side
    14,140.61x = 76,584,817.92
  5. Step 5: Solve for x
    x = 76,584,817.92/14,140.61
  6. Step 6: Final answer
    x = 5,415.95

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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.