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Finding the Fourth Proportional to 13,778.30, 19,017.51 and 7,813.53

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Solution

The fourth proportional to 13,778.30, 19,017.51 and 7,813.53 is: 10,784.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.30 : 19,017.51 = 7,813.53 : x
  2. Step 2: Convert to fraction form
    13,778.30/19,017.51 = 7,813.53/x
  3. Step 3: Cross multiply
    13,778.30x = 19,017.51 × 7,813.53
  4. Step 4: Simplify right side
    13,778.30x = 148,593,884.91
  5. Step 5: Solve for x
    x = 148,593,884.91/13,778.30
  6. Step 6: Final answer
    x = 10,784.63

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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.