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Finding the Fourth Proportional to 21,898.08, 32,850.45 and 8,046

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Solution

The fourth proportional to 21,898.08, 32,850.45 and 8,046 is: 12,070.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,898.08 : 32,850.45 = 8,046 : x
  2. Step 2: Convert to fraction form
    21,898.08/32,850.45 = 8,046/x
  3. Step 3: Cross multiply
    21,898.08x = 32,850.45 × 8,046
  4. Step 4: Simplify right side
    21,898.08x = 264,314,720.70
  5. Step 5: Solve for x
    x = 264,314,720.70/21,898.08
  6. Step 6: Final answer
    x = 12,070.22

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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.