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Finding the Fourth Proportional to 19,801.77, 29,705.40 and 6,657.90

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Solution

The fourth proportional to 19,801.77, 29,705.40 and 6,657.90 is: 9,987.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,801.77 : 29,705.40 = 6,657.90 : x
  2. Step 2: Convert to fraction form
    19,801.77/29,705.40 = 6,657.90/x
  3. Step 3: Cross multiply
    19,801.77x = 29,705.40 × 6,657.90
  4. Step 4: Simplify right side
    19,801.77x = 197,775,582.66
  5. Step 5: Solve for x
    x = 197,775,582.66/19,801.77
  6. Step 6: Final answer
    x = 9,987.77

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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.