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Finding the Fourth Proportional to 13,510.63, 20,265.95 and 3,650.16

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Solution

The fourth proportional to 13,510.63, 20,265.95 and 3,650.16 is: 5,475.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,510.63 : 20,265.95 = 3,650.16 : x
  2. Step 2: Convert to fraction form
    13,510.63/20,265.95 = 3,650.16/x
  3. Step 3: Cross multiply
    13,510.63x = 20,265.95 × 3,650.16
  4. Step 4: Simplify right side
    13,510.63x = 73,974,045.17
  5. Step 5: Solve for x
    x = 73,974,045.17/13,510.63
  6. Step 6: Final answer
    x = 5,475.25

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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.