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Finding the Fourth Proportional to 20,973.04, 31,465 and 7,825.50

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Solution

The fourth proportional to 20,973.04, 31,465 and 7,825.50 is: 11,740.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,973.04 : 31,465 = 7,825.50 : x
  2. Step 2: Convert to fraction form
    20,973.04/31,465 = 7,825.50/x
  3. Step 3: Cross multiply
    20,973.04x = 31,465 × 7,825.50
  4. Step 4: Simplify right side
    20,973.04x = 246,229,357.50
  5. Step 5: Solve for x
    x = 246,229,357.50/20,973.04
  6. Step 6: Final answer
    x = 11,740.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.