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Finding the Fourth Proportional to 12,838.64, 17,701.16 and 9,817.47

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Solution

The fourth proportional to 12,838.64, 17,701.16 and 9,817.47 is: 13,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.64 : 17,701.16 = 9,817.47 : x
  2. Step 2: Convert to fraction form
    12,838.64/17,701.16 = 9,817.47/x
  3. Step 3: Cross multiply
    12,838.64x = 17,701.16 × 9,817.47
  4. Step 4: Simplify right side
    12,838.64x = 173,780,558.18
  5. Step 5: Solve for x
    x = 173,780,558.18/12,838.64
  6. Step 6: Final answer
    x = 13,535.75

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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.