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Finding the Fourth Proportional to 14,842.31, 22,259.97 and 6,950.25

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Solution

The fourth proportional to 14,842.31, 22,259.97 and 6,950.25 is: 10,423.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,842.31 : 22,259.97 = 6,950.25 : x
  2. Step 2: Convert to fraction form
    14,842.31/22,259.97 = 6,950.25/x
  3. Step 3: Cross multiply
    14,842.31x = 22,259.97 × 6,950.25
  4. Step 4: Simplify right side
    14,842.31x = 154,712,356.49
  5. Step 5: Solve for x
    x = 154,712,356.49/14,842.31
  6. Step 6: Final answer
    x = 10,423.74

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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.