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Finding the Fourth Proportional to 14,829.77, 20,465.17 and 8,369.46

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Solution

The fourth proportional to 14,829.77, 20,465.17 and 8,369.46 is: 11,549.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,829.77 : 20,465.17 = 8,369.46 : x
  2. Step 2: Convert to fraction form
    14,829.77/20,465.17 = 8,369.46/x
  3. Step 3: Cross multiply
    14,829.77x = 20,465.17 × 8,369.46
  4. Step 4: Simplify right side
    14,829.77x = 171,282,477.53
  5. Step 5: Solve for x
    x = 171,282,477.53/14,829.77
  6. Step 6: Final answer
    x = 11,549.91

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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.