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Finding the Fourth Proportional to 19,098.88, 26,359.14 and 11,145.40

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Solution

The fourth proportional to 19,098.88, 26,359.14 and 11,145.40 is: 15,382.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098.88 : 26,359.14 = 11,145.40 : x
  2. Step 2: Convert to fraction form
    19,098.88/26,359.14 = 11,145.40/x
  3. Step 3: Cross multiply
    19,098.88x = 26,359.14 × 11,145.40
  4. Step 4: Simplify right side
    19,098.88x = 293,783,158.96
  5. Step 5: Solve for x
    x = 293,783,158.96/19,098.88
  6. Step 6: Final answer
    x = 15,382.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.