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Finding the Fourth Proportional to 19,098.75, 26,356.46 and 10,715.43

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Solution

The fourth proportional to 19,098.75, 26,356.46 and 10,715.43 is: 14,787.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,098.75 : 26,356.46 = 10,715.43 : x
  2. Step 2: Convert to fraction form
    19,098.75/26,356.46 = 10,715.43/x
  3. Step 3: Cross multiply
    19,098.75x = 26,356.46 × 10,715.43
  4. Step 4: Simplify right side
    19,098.75x = 282,420,748.60
  5. Step 5: Solve for x
    x = 282,420,748.60/19,098.75
  6. Step 6: Final answer
    x = 14,787.39

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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.