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Finding the Fourth Proportional to 21,881.99, 32,827.86 and 6,298.40

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Solution

The fourth proportional to 21,881.99, 32,827.86 and 6,298.40 is: 9,449.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,881.99 : 32,827.86 = 6,298.40 : x
  2. Step 2: Convert to fraction form
    21,881.99/32,827.86 = 6,298.40/x
  3. Step 3: Cross multiply
    21,881.99x = 32,827.86 × 6,298.40
  4. Step 4: Simplify right side
    21,881.99x = 206,762,829.28
  5. Step 5: Solve for x
    x = 206,762,829.28/21,881.99
  6. Step 6: Final answer
    x = 9,449.00

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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.