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Finding the Fourth Proportional to 21,058.84, 31,585.74 and 5,476.06

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Solution

The fourth proportional to 21,058.84, 31,585.74 and 5,476.06 is: 8,213.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,058.84 : 31,585.74 = 5,476.06 : x
  2. Step 2: Convert to fraction form
    21,058.84/31,585.74 = 5,476.06/x
  3. Step 3: Cross multiply
    21,058.84x = 31,585.74 × 5,476.06
  4. Step 4: Simplify right side
    21,058.84x = 172,965,407.38
  5. Step 5: Solve for x
    x = 172,965,407.38/21,058.84
  6. Step 6: Final answer
    x = 8,213.43

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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.