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Finding the Fourth Proportional to 19,444.64, 26,833.02 and 10,947.24

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Solution

The fourth proportional to 19,444.64, 26,833.02 and 10,947.24 is: 15,106.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,444.64 : 26,833.02 = 10,947.24 : x
  2. Step 2: Convert to fraction form
    19,444.64/26,833.02 = 10,947.24/x
  3. Step 3: Cross multiply
    19,444.64x = 26,833.02 × 10,947.24
  4. Step 4: Simplify right side
    19,444.64x = 293,747,509.86
  5. Step 5: Solve for x
    x = 293,747,509.86/19,444.64
  6. Step 6: Final answer
    x = 15,106.86

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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.