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Finding the Fourth Proportional to 13,718.63, 18,931.77 and 7,431

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Solution

The fourth proportional to 13,718.63, 18,931.77 and 7,431 is: 10,254.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,718.63 : 18,931.77 = 7,431 : x
  2. Step 2: Convert to fraction form
    13,718.63/18,931.77 = 7,431/x
  3. Step 3: Cross multiply
    13,718.63x = 18,931.77 × 7,431
  4. Step 4: Simplify right side
    13,718.63x = 140,681,982.87
  5. Step 5: Solve for x
    x = 140,681,982.87/13,718.63
  6. Step 6: Final answer
    x = 10,254.82

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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.