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Finding the Fourth Proportional to 16,128.74, 22,259.14 and 9,417.62

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Solution

The fourth proportional to 16,128.74, 22,259.14 and 9,417.62 is: 12,997.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128.74 : 22,259.14 = 9,417.62 : x
  2. Step 2: Convert to fraction form
    16,128.74/22,259.14 = 9,417.62/x
  3. Step 3: Cross multiply
    16,128.74x = 22,259.14 × 9,417.62
  4. Step 4: Simplify right side
    16,128.74x = 209,628,122.05
  5. Step 5: Solve for x
    x = 209,628,122.05/16,128.74
  6. Step 6: Final answer
    x = 12,997.18

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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.