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Finding the Fourth Proportional to 21,058.25, 31,589.94 and 6,466.25

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Solution

The fourth proportional to 21,058.25, 31,589.94 and 6,466.25 is: 9,700.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,058.25 : 31,589.94 = 6,466.25 : x
  2. Step 2: Convert to fraction form
    21,058.25/31,589.94 = 6,466.25/x
  3. Step 3: Cross multiply
    21,058.25x = 31,589.94 × 6,466.25
  4. Step 4: Simplify right side
    21,058.25x = 204,268,417.19
  5. Step 5: Solve for x
    x = 204,268,417.19/21,058.25
  6. Step 6: Final answer
    x = 9,700.16

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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.