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Finding the Fourth Proportional to 17,308.36, 23,886.32 and 9,755

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Solution

The fourth proportional to 17,308.36, 23,886.32 and 9,755 is: 13,462.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,308.36 : 23,886.32 = 9,755 : x
  2. Step 2: Convert to fraction form
    17,308.36/23,886.32 = 9,755/x
  3. Step 3: Cross multiply
    17,308.36x = 23,886.32 × 9,755
  4. Step 4: Simplify right side
    17,308.36x = 233,011,051.60
  5. Step 5: Solve for x
    x = 233,011,051.60/17,308.36
  6. Step 6: Final answer
    x = 13,462.34

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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.