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Finding the Fourth Proportional to 17,005.24, 23,459.07 and 14,643.28

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Solution

The fourth proportional to 17,005.24, 23,459.07 and 14,643.28 is: 20,200.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,005.24 : 23,459.07 = 14,643.28 : x
  2. Step 2: Convert to fraction form
    17,005.24/23,459.07 = 14,643.28/x
  3. Step 3: Cross multiply
    17,005.24x = 23,459.07 × 14,643.28
  4. Step 4: Simplify right side
    17,005.24x = 343,517,732.42
  5. Step 5: Solve for x
    x = 343,517,732.42/17,005.24
  6. Step 6: Final answer
    x = 20,200.70

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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.