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Finding the Fourth Proportional to 20,698.74, 31,048.38 and 9,011.52

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Solution

The fourth proportional to 20,698.74, 31,048.38 and 9,011.52 is: 13,517.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,698.74 : 31,048.38 = 9,011.52 : x
  2. Step 2: Convert to fraction form
    20,698.74/31,048.38 = 9,011.52/x
  3. Step 3: Cross multiply
    20,698.74x = 31,048.38 × 9,011.52
  4. Step 4: Simplify right side
    20,698.74x = 279,793,097.34
  5. Step 5: Solve for x
    x = 279,793,097.34/20,698.74
  6. Step 6: Final answer
    x = 13,517.40

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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.