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Finding the Fourth Proportional to 13,937.63, 19,233.99 and 7,650

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Solution

The fourth proportional to 13,937.63, 19,233.99 and 7,650 is: 10,557.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.63 : 19,233.99 = 7,650 : x
  2. Step 2: Convert to fraction form
    13,937.63/19,233.99 = 7,650/x
  3. Step 3: Cross multiply
    13,937.63x = 19,233.99 × 7,650
  4. Step 4: Simplify right side
    13,937.63x = 147,140,023.50
  5. Step 5: Solve for x
    x = 147,140,023.50/13,937.63
  6. Step 6: Final answer
    x = 10,557.04

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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.