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Finding the Fourth Proportional to 23,058.75, 31,809.04 and 14,557.82

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Solution

The fourth proportional to 23,058.75, 31,809.04 and 14,557.82 is: 20,082.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,058.75 : 31,809.04 = 14,557.82 : x
  2. Step 2: Convert to fraction form
    23,058.75/31,809.04 = 14,557.82/x
  3. Step 3: Cross multiply
    23,058.75x = 31,809.04 × 14,557.82
  4. Step 4: Simplify right side
    23,058.75x = 463,070,119.65
  5. Step 5: Solve for x
    x = 463,070,119.65/23,058.75
  6. Step 6: Final answer
    x = 20,082.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.