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Finding the Fourth Proportional to 22,580.51, 33,875.46 and 6,784.90

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Solution

The fourth proportional to 22,580.51, 33,875.46 and 6,784.90 is: 10,178.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,580.51 : 33,875.46 = 6,784.90 : x
  2. Step 2: Convert to fraction form
    22,580.51/33,875.46 = 6,784.90/x
  3. Step 3: Cross multiply
    22,580.51x = 33,875.46 × 6,784.90
  4. Step 4: Simplify right side
    22,580.51x = 229,841,523.87
  5. Step 5: Solve for x
    x = 229,841,523.87/22,580.51
  6. Step 6: Final answer
    x = 10,178.76

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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.