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Finding the Fourth Proportional to 14,148.22, 21,215.04 and 9,712.66

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Solution

The fourth proportional to 14,148.22, 21,215.04 and 9,712.66 is: 14,563.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,148.22 : 21,215.04 = 9,712.66 : x
  2. Step 2: Convert to fraction form
    14,148.22/21,215.04 = 9,712.66/x
  3. Step 3: Cross multiply
    14,148.22x = 21,215.04 × 9,712.66
  4. Step 4: Simplify right side
    14,148.22x = 206,054,470.41
  5. Step 5: Solve for x
    x = 206,054,470.41/14,148.22
  6. Step 6: Final answer
    x = 14,563.99

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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.