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Finding the Fourth Proportional to 21,461.15, 32,191.02 and 6,468.35

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Solution

The fourth proportional to 21,461.15, 32,191.02 and 6,468.35 is: 9,702.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.15 : 32,191.02 = 6,468.35 : x
  2. Step 2: Convert to fraction form
    21,461.15/32,191.02 = 6,468.35/x
  3. Step 3: Cross multiply
    21,461.15x = 32,191.02 × 6,468.35
  4. Step 4: Simplify right side
    21,461.15x = 208,222,623.26
  5. Step 5: Solve for x
    x = 208,222,623.26/21,461.15
  6. Step 6: Final answer
    x = 9,702.31

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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.