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Finding the Fourth Proportional to 20,698.97, 31,038.93 and 6,656.40

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Solution

The fourth proportional to 20,698.97, 31,038.93 and 6,656.40 is: 9,981.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.97 : 31,038.93 = 6,656.40 : x
  2. Step 2: Convert to fraction form
    20,698.97/31,038.93 = 6,656.40/x
  3. Step 3: Cross multiply
    20,698.97x = 31,038.93 × 6,656.40
  4. Step 4: Simplify right side
    20,698.97x = 206,607,533.65
  5. Step 5: Solve for x
    x = 206,607,533.65/20,698.97
  6. Step 6: Final answer
    x = 9,981.54

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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.