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Finding the Fourth Proportional to 21,643.03, 32,461.71 and 6,852.03

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Solution

The fourth proportional to 21,643.03, 32,461.71 and 6,852.03 is: 10,277.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,643.03 : 32,461.71 = 6,852.03 : x
  2. Step 2: Convert to fraction form
    21,643.03/32,461.71 = 6,852.03/x
  3. Step 3: Cross multiply
    21,643.03x = 32,461.71 × 6,852.03
  4. Step 4: Simplify right side
    21,643.03x = 222,428,610.77
  5. Step 5: Solve for x
    x = 222,428,610.77/21,643.03
  6. Step 6: Final answer
    x = 10,277.15

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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.