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Finding the Fourth Proportional to 20,698.72, 31,038.55 and 6,656.15

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Solution

The fourth proportional to 20,698.72, 31,038.55 and 6,656.15 is: 9,981.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.72 : 31,038.55 = 6,656.15 : x
  2. Step 2: Convert to fraction form
    20,698.72/31,038.55 = 6,656.15/x
  3. Step 3: Cross multiply
    20,698.72x = 31,038.55 × 6,656.15
  4. Step 4: Simplify right side
    20,698.72x = 206,597,244.58
  5. Step 5: Solve for x
    x = 206,597,244.58/20,698.72
  6. Step 6: Final answer
    x = 9,981.16

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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.