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Finding the Fourth Proportional to 13,534.29, 18,678.29 and 9,335.25

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Solution

The fourth proportional to 13,534.29, 18,678.29 and 9,335.25 is: 12,883.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,534.29 : 18,678.29 = 9,335.25 : x
  2. Step 2: Convert to fraction form
    13,534.29/18,678.29 = 9,335.25/x
  3. Step 3: Cross multiply
    13,534.29x = 18,678.29 × 9,335.25
  4. Step 4: Simplify right side
    13,534.29x = 174,366,460.05
  5. Step 5: Solve for x
    x = 174,366,460.05/13,534.29
  6. Step 6: Final answer
    x = 12,883.31

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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.