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Finding the Fourth Proportional to 14,263.47, 19,676.95 and 9,229.31

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Solution

The fourth proportional to 14,263.47, 19,676.95 and 9,229.31 is: 12,732.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,263.47 : 19,676.95 = 9,229.31 : x
  2. Step 2: Convert to fraction form
    14,263.47/19,676.95 = 9,229.31/x
  3. Step 3: Cross multiply
    14,263.47x = 19,676.95 × 9,229.31
  4. Step 4: Simplify right side
    14,263.47x = 181,604,730.99
  5. Step 5: Solve for x
    x = 181,604,730.99/14,263.47
  6. Step 6: Final answer
    x = 12,732.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.