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Finding the Fourth Proportional to 29,896.32, 44,813.71 and 13,264.19

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Solution

The fourth proportional to 29,896.32, 44,813.71 and 13,264.19 is: 19,882.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,896.32 : 44,813.71 = 13,264.19 : x
  2. Step 2: Convert to fraction form
    29,896.32/44,813.71 = 13,264.19/x
  3. Step 3: Cross multiply
    29,896.32x = 44,813.71 × 13,264.19
  4. Step 4: Simplify right side
    29,896.32x = 594,417,564.04
  5. Step 5: Solve for x
    x = 594,417,564.04/29,896.32
  6. Step 6: Final answer
    x = 19,882.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.