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Finding the Fourth Proportional to 13,005.90, 19,508.85 and 5,220.30

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Solution

The fourth proportional to 13,005.90, 19,508.85 and 5,220.30 is: 7,830.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,005.90 : 19,508.85 = 5,220.30 : x
  2. Step 2: Convert to fraction form
    13,005.90/19,508.85 = 5,220.30/x
  3. Step 3: Cross multiply
    13,005.90x = 19,508.85 × 5,220.30
  4. Step 4: Simplify right side
    13,005.90x = 101,842,049.66
  5. Step 5: Solve for x
    x = 101,842,049.66/13,005.90
  6. Step 6: Final answer
    x = 7,830.45

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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.