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Finding the Fourth Proportional to 12,963.10, 19,447.35 and 7,411.90

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Solution

The fourth proportional to 12,963.10, 19,447.35 and 7,411.90 is: 11,119.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,963.10 : 19,447.35 = 7,411.90 : x
  2. Step 2: Convert to fraction form
    12,963.10/19,447.35 = 7,411.90/x
  3. Step 3: Cross multiply
    12,963.10x = 19,447.35 × 7,411.90
  4. Step 4: Simplify right side
    12,963.10x = 144,141,813.47
  5. Step 5: Solve for x
    x = 144,141,813.47/12,963.10
  6. Step 6: Final answer
    x = 11,119.39

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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.