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Finding the Fourth Proportional to 12,737.93, 17,578.33 and 7,431.72

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Solution

The fourth proportional to 12,737.93, 17,578.33 and 7,431.72 is: 10,255.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.93 : 17,578.33 = 7,431.72 : x
  2. Step 2: Convert to fraction form
    12,737.93/17,578.33 = 7,431.72/x
  3. Step 3: Cross multiply
    12,737.93x = 17,578.33 × 7,431.72
  4. Step 4: Simplify right side
    12,737.93x = 130,637,226.63
  5. Step 5: Solve for x
    x = 130,637,226.63/12,737.93
  6. Step 6: Final answer
    x = 10,255.77

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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.