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Finding the Fourth Proportional to 23,082.84, 31,854 and 13,012.20

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Solution

The fourth proportional to 23,082.84, 31,854 and 13,012.20 is: 17,956.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,082.84 : 31,854 = 13,012.20 : x
  2. Step 2: Convert to fraction form
    23,082.84/31,854 = 13,012.20/x
  3. Step 3: Cross multiply
    23,082.84x = 31,854 × 13,012.20
  4. Step 4: Simplify right side
    23,082.84x = 414,490,618.80
  5. Step 5: Solve for x
    x = 414,490,618.80/23,082.84
  6. Step 6: Final answer
    x = 17,956.66

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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.