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Finding the Fourth Proportional to 21,333.51, 32,000.46 and 6,542.50

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Solution

The fourth proportional to 21,333.51, 32,000.46 and 6,542.50 is: 9,813.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,333.51 : 32,000.46 = 6,542.50 : x
  2. Step 2: Convert to fraction form
    21,333.51/32,000.46 = 6,542.50/x
  3. Step 3: Cross multiply
    21,333.51x = 32,000.46 × 6,542.50
  4. Step 4: Simplify right side
    21,333.51x = 209,363,009.55
  5. Step 5: Solve for x
    x = 209,363,009.55/21,333.51
  6. Step 6: Final answer
    x = 9,813.81

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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.