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Finding the Fourth Proportional to 14,342.12, 21,518.69 and 6,946.01

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Solution

The fourth proportional to 14,342.12, 21,518.69 and 6,946.01 is: 10,421.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.12 : 21,518.69 = 6,946.01 : x
  2. Step 2: Convert to fraction form
    14,342.12/21,518.69 = 6,946.01/x
  3. Step 3: Cross multiply
    14,342.12x = 21,518.69 × 6,946.01
  4. Step 4: Simplify right side
    14,342.12x = 149,468,945.70
  5. Step 5: Solve for x
    x = 149,468,945.70/14,342.12
  6. Step 6: Final answer
    x = 10,421.68

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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.