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Finding the Fourth Proportional to 16,144.94, 22,276.08 and 9,426.68

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Solution

The fourth proportional to 16,144.94, 22,276.08 and 9,426.68 is: 13,006.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,144.94 : 22,276.08 = 9,426.68 : x
  2. Step 2: Convert to fraction form
    16,144.94/22,276.08 = 9,426.68/x
  3. Step 3: Cross multiply
    16,144.94x = 22,276.08 × 9,426.68
  4. Step 4: Simplify right side
    16,144.94x = 209,989,477.81
  5. Step 5: Solve for x
    x = 209,989,477.81/16,144.94
  6. Step 6: Final answer
    x = 13,006.52

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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.