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Finding the Fourth Proportional to 17,801.64, 26,666 and 9,994.08

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Solution

The fourth proportional to 17,801.64, 26,666 and 9,994.08 is: 14,970.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,801.64 : 26,666 = 9,994.08 : x
  2. Step 2: Convert to fraction form
    17,801.64/26,666 = 9,994.08/x
  3. Step 3: Cross multiply
    17,801.64x = 26,666 × 9,994.08
  4. Step 4: Simplify right side
    17,801.64x = 266,502,137.28
  5. Step 5: Solve for x
    x = 266,502,137.28/17,801.64
  6. Step 6: Final answer
    x = 14,970.65

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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.