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Finding the Fourth Proportional to 14,829.99, 20,465.06 and 8,456.15

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Solution

The fourth proportional to 14,829.99, 20,465.06 and 8,456.15 is: 11,669.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.99 : 20,465.06 = 8,456.15 : x
  2. Step 2: Convert to fraction form
    14,829.99/20,465.06 = 8,456.15/x
  3. Step 3: Cross multiply
    14,829.99x = 20,465.06 × 8,456.15
  4. Step 4: Simplify right side
    14,829.99x = 173,055,472.51
  5. Step 5: Solve for x
    x = 173,055,472.51/14,829.99
  6. Step 6: Final answer
    x = 11,669.29

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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.