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Finding the Fourth Proportional to 16,317, 22,530.42 and 12,798.36

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Solution

The fourth proportional to 16,317, 22,530.42 and 12,798.36 is: 17,671.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,317 : 22,530.42 = 12,798.36 : x
  2. Step 2: Convert to fraction form
    16,317/22,530.42 = 12,798.36/x
  3. Step 3: Cross multiply
    16,317x = 22,530.42 × 12,798.36
  4. Step 4: Simplify right side
    16,317x = 288,352,426.11
  5. Step 5: Solve for x
    x = 288,352,426.11/16,317
  6. Step 6: Final answer
    x = 17,671.90

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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.