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Finding the Fourth Proportional to 21,460.48, 32,193.66 and 6,666.64

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Solution

The fourth proportional to 21,460.48, 32,193.66 and 6,666.64 is: 10,000.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,460.48 : 32,193.66 = 6,666.64 : x
  2. Step 2: Convert to fraction form
    21,460.48/32,193.66 = 6,666.64/x
  3. Step 3: Cross multiply
    21,460.48x = 32,193.66 × 6,666.64
  4. Step 4: Simplify right side
    21,460.48x = 214,623,541.50
  5. Step 5: Solve for x
    x = 214,623,541.50/21,460.48
  6. Step 6: Final answer
    x = 10,000.87

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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.