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Finding the Fourth Proportional to 17,581.84, 24,263.52 and 10,029.28

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Solution

The fourth proportional to 17,581.84, 24,263.52 and 10,029.28 is: 13,840.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,581.84 : 24,263.52 = 10,029.28 : x
  2. Step 2: Convert to fraction form
    17,581.84/24,263.52 = 10,029.28/x
  3. Step 3: Cross multiply
    17,581.84x = 24,263.52 × 10,029.28
  4. Step 4: Simplify right side
    17,581.84x = 243,345,635.87
  5. Step 5: Solve for x
    x = 243,345,635.87/17,581.84
  6. Step 6: Final answer
    x = 13,840.74

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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.