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Finding the Fourth Proportional to 13,036.32, 17,975.86 and 9,685.35

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Solution

The fourth proportional to 13,036.32, 17,975.86 and 9,685.35 is: 13,355.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,036.32 : 17,975.86 = 9,685.35 : x
  2. Step 2: Convert to fraction form
    13,036.32/17,975.86 = 9,685.35/x
  3. Step 3: Cross multiply
    13,036.32x = 17,975.86 × 9,685.35
  4. Step 4: Simplify right side
    13,036.32x = 174,102,471.44
  5. Step 5: Solve for x
    x = 174,102,471.44/13,036.32
  6. Step 6: Final answer
    x = 13,355.19

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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.