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Finding the Fourth Proportional to 17,197.32, 23,730.93 and 9,642.63

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Solution

The fourth proportional to 17,197.32, 23,730.93 and 9,642.63 is: 13,306.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,197.32 : 23,730.93 = 9,642.63 : x
  2. Step 2: Convert to fraction form
    17,197.32/23,730.93 = 9,642.63/x
  3. Step 3: Cross multiply
    17,197.32x = 23,730.93 × 9,642.63
  4. Step 4: Simplify right side
    17,197.32x = 228,828,577.55
  5. Step 5: Solve for x
    x = 228,828,577.55/17,197.32
  6. Step 6: Final answer
    x = 13,306.06

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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.