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Finding the Fourth Proportional to 16,179.93, 22,328.64 and 9,470.43

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Solution

The fourth proportional to 16,179.93, 22,328.64 and 9,470.43 is: 13,069.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,179.93 : 22,328.64 = 9,470.43 : x
  2. Step 2: Convert to fraction form
    16,179.93/22,328.64 = 9,470.43/x
  3. Step 3: Cross multiply
    16,179.93x = 22,328.64 × 9,470.43
  4. Step 4: Simplify right side
    16,179.93x = 211,461,822.12
  5. Step 5: Solve for x
    x = 211,461,822.12/16,179.93
  6. Step 6: Final answer
    x = 13,069.39

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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.