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Finding the Fourth Proportional to 14,342.87, 19,787.63 and 10,574.98

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Solution

The fourth proportional to 14,342.87, 19,787.63 and 10,574.98 is: 14,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,342.87 : 19,787.63 = 10,574.98 : x
  2. Step 2: Convert to fraction form
    14,342.87/19,787.63 = 10,574.98/x
  3. Step 3: Cross multiply
    14,342.87x = 19,787.63 × 10,574.98
  4. Step 4: Simplify right side
    14,342.87x = 209,253,768.47
  5. Step 5: Solve for x
    x = 209,253,768.47/14,342.87
  6. Step 6: Final answer
    x = 14,589.39

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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.