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Finding the Fourth Proportional to 17,865.13, 24,625.47 and 14,082.16

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Solution

The fourth proportional to 17,865.13, 24,625.47 and 14,082.16 is: 19,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,865.13 : 24,625.47 = 14,082.16 : x
  2. Step 2: Convert to fraction form
    17,865.13/24,625.47 = 14,082.16/x
  3. Step 3: Cross multiply
    17,865.13x = 24,625.47 × 14,082.16
  4. Step 4: Simplify right side
    17,865.13x = 346,779,808.62
  5. Step 5: Solve for x
    x = 346,779,808.62/17,865.13
  6. Step 6: Final answer
    x = 19,410.99

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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.