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Finding the Fourth Proportional to 17,296.14, 23,866.95 and 9,742.26

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Solution

The fourth proportional to 17,296.14, 23,866.95 and 9,742.26 is: 13,443.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,296.14 : 23,866.95 = 9,742.26 : x
  2. Step 2: Convert to fraction form
    17,296.14/23,866.95 = 9,742.26/x
  3. Step 3: Cross multiply
    17,296.14x = 23,866.95 × 9,742.26
  4. Step 4: Simplify right side
    17,296.14x = 232,518,032.31
  5. Step 5: Solve for x
    x = 232,518,032.31/17,296.14
  6. Step 6: Final answer
    x = 13,443.35

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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.