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Finding the Fourth Proportional to 14,206.30, 21,319.05 and 7,966.30

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Solution

The fourth proportional to 14,206.30, 21,319.05 and 7,966.30 is: 11,954.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,206.30 : 21,319.05 = 7,966.30 : x
  2. Step 2: Convert to fraction form
    14,206.30/21,319.05 = 7,966.30/x
  3. Step 3: Cross multiply
    14,206.30x = 21,319.05 × 7,966.30
  4. Step 4: Simplify right side
    14,206.30x = 169,833,948.02
  5. Step 5: Solve for x
    x = 169,833,948.02/14,206.30
  6. Step 6: Final answer
    x = 11,954.83

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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.