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Finding the Fourth Proportional to 20,864.64, 31,293.72 and 6,070.50

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Solution

The fourth proportional to 20,864.64, 31,293.72 and 6,070.50 is: 9,104.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,864.64 : 31,293.72 = 6,070.50 : x
  2. Step 2: Convert to fraction form
    20,864.64/31,293.72 = 6,070.50/x
  3. Step 3: Cross multiply
    20,864.64x = 31,293.72 × 6,070.50
  4. Step 4: Simplify right side
    20,864.64x = 189,968,527.26
  5. Step 5: Solve for x
    x = 189,968,527.26/20,864.64
  6. Step 6: Final answer
    x = 9,104.81

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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.