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Finding the Fourth Proportional to 17,772.60, 26,646.10 and 9,983.80

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Solution

The fourth proportional to 17,772.60, 26,646.10 and 9,983.80 is: 14,968.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,772.60 : 26,646.10 = 9,983.80 : x
  2. Step 2: Convert to fraction form
    17,772.60/26,646.10 = 9,983.80/x
  3. Step 3: Cross multiply
    17,772.60x = 26,646.10 × 9,983.80
  4. Step 4: Simplify right side
    17,772.60x = 266,029,333.18
  5. Step 5: Solve for x
    x = 266,029,333.18/17,772.60
  6. Step 6: Final answer
    x = 14,968.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.