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Finding the Fourth Proportional to 14,287.17, 19,712.81 and 8,315.24

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Solution

The fourth proportional to 14,287.17, 19,712.81 and 8,315.24 is: 11,472.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.17 : 19,712.81 = 8,315.24 : x
  2. Step 2: Convert to fraction form
    14,287.17/19,712.81 = 8,315.24/x
  3. Step 3: Cross multiply
    14,287.17x = 19,712.81 × 8,315.24
  4. Step 4: Simplify right side
    14,287.17x = 163,916,606.08
  5. Step 5: Solve for x
    x = 163,916,606.08/14,287.17
  6. Step 6: Final answer
    x = 11,472.99

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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.