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Finding the Fourth Proportional to 23,014.56, 34,513.20 and 7,428

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Solution

The fourth proportional to 23,014.56, 34,513.20 and 7,428 is: 11,139.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,014.56 : 34,513.20 = 7,428 : x
  2. Step 2: Convert to fraction form
    23,014.56/34,513.20 = 7,428/x
  3. Step 3: Cross multiply
    23,014.56x = 34,513.20 × 7,428
  4. Step 4: Simplify right side
    23,014.56x = 256,364,049.60
  5. Step 5: Solve for x
    x = 256,364,049.60/23,014.56
  6. Step 6: Final answer
    x = 11,139.21

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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.