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Finding the Fourth Proportional to 15,855.23, 21,830.42 and 13,460.24

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Solution

The fourth proportional to 15,855.23, 21,830.42 and 13,460.24 is: 18,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,855.23 : 21,830.42 = 13,460.24 : x
  2. Step 2: Convert to fraction form
    15,855.23/21,830.42 = 13,460.24/x
  3. Step 3: Cross multiply
    15,855.23x = 21,830.42 × 13,460.24
  4. Step 4: Simplify right side
    15,855.23x = 293,842,516.05
  5. Step 5: Solve for x
    x = 293,842,516.05/15,855.23
  6. Step 6: Final answer
    x = 18,532.85

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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.