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Finding the Fourth Proportional to 12,838.50, 19,265.85 and 5,047.11

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Solution

The fourth proportional to 12,838.50, 19,265.85 and 5,047.11 is: 7,573.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.50 : 19,265.85 = 5,047.11 : x
  2. Step 2: Convert to fraction form
    12,838.50/19,265.85 = 5,047.11/x
  3. Step 3: Cross multiply
    12,838.50x = 19,265.85 × 5,047.11
  4. Step 4: Simplify right side
    12,838.50x = 97,236,864.19
  5. Step 5: Solve for x
    x = 97,236,864.19/12,838.50
  6. Step 6: Final answer
    x = 7,573.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.