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Finding the Fourth Proportional to 17,577.29, 24,257.30 and 10,022.40

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Solution

The fourth proportional to 17,577.29, 24,257.30 and 10,022.40 is: 13,831.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.29 : 24,257.30 = 10,022.40 : x
  2. Step 2: Convert to fraction form
    17,577.29/24,257.30 = 10,022.40/x
  3. Step 3: Cross multiply
    17,577.29x = 24,257.30 × 10,022.40
  4. Step 4: Simplify right side
    17,577.29x = 243,116,313.41
  5. Step 5: Solve for x
    x = 243,116,313.41/17,577.29
  6. Step 6: Final answer
    x = 13,831.28

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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.