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Finding the Fourth Proportional to 17,786.93, 26,695.71 and 9,897.32

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Solution

The fourth proportional to 17,786.93, 26,695.71 and 9,897.32 is: 14,854.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,786.93 : 26,695.71 = 9,897.32 : x
  2. Step 2: Convert to fraction form
    17,786.93/26,695.71 = 9,897.32/x
  3. Step 3: Cross multiply
    17,786.93x = 26,695.71 × 9,897.32
  4. Step 4: Simplify right side
    17,786.93x = 264,216,051.24
  5. Step 5: Solve for x
    x = 264,216,051.24/17,786.93
  6. Step 6: Final answer
    x = 14,854.51

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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.