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Finding the Fourth Proportional to 13,573.98, 20,348.82 and 4,807.76

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Solution

The fourth proportional to 13,573.98, 20,348.82 and 4,807.76 is: 7,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,573.98 : 20,348.82 = 4,807.76 : x
  2. Step 2: Convert to fraction form
    13,573.98/20,348.82 = 4,807.76/x
  3. Step 3: Cross multiply
    13,573.98x = 20,348.82 × 4,807.76
  4. Step 4: Simplify right side
    13,573.98x = 97,832,141.10
  5. Step 5: Solve for x
    x = 97,832,141.10/13,573.98
  6. Step 6: Final answer
    x = 7,207.33

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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.