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Finding the Fourth Proportional to 21,367.16, 32,053.77 and 6,577.31

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Solution

The fourth proportional to 21,367.16, 32,053.77 and 6,577.31 is: 9,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,367.16 : 32,053.77 = 6,577.31 : x
  2. Step 2: Convert to fraction form
    21,367.16/32,053.77 = 6,577.31/x
  3. Step 3: Cross multiply
    21,367.16x = 32,053.77 × 6,577.31
  4. Step 4: Simplify right side
    21,367.16x = 210,827,421.69
  5. Step 5: Solve for x
    x = 210,827,421.69/21,367.16
  6. Step 6: Final answer
    x = 9,866.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.