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Finding the Fourth Proportional to 19,638.63, 29,454.14 and 7,630.76

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Solution

The fourth proportional to 19,638.63, 29,454.14 and 7,630.76 is: 11,444.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,638.63 : 29,454.14 = 7,630.76 : x
  2. Step 2: Convert to fraction form
    19,638.63/29,454.14 = 7,630.76/x
  3. Step 3: Cross multiply
    19,638.63x = 29,454.14 × 7,630.76
  4. Step 4: Simplify right side
    19,638.63x = 224,757,426.99
  5. Step 5: Solve for x
    x = 224,757,426.99/19,638.63
  6. Step 6: Final answer
    x = 11,444.66

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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.