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Finding the Fourth Proportional to 12,938.79, 19,435.82 and 9,264.63

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Solution

The fourth proportional to 12,938.79, 19,435.82 and 9,264.63 is: 13,916.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.79 : 19,435.82 = 9,264.63 : x
  2. Step 2: Convert to fraction form
    12,938.79/19,435.82 = 9,264.63/x
  3. Step 3: Cross multiply
    12,938.79x = 19,435.82 × 9,264.63
  4. Step 4: Simplify right side
    12,938.79x = 180,065,634.72
  5. Step 5: Solve for x
    x = 180,065,634.72/12,938.79
  6. Step 6: Final answer
    x = 13,916.73

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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.