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Finding the Fourth Proportional to 14,122.60, 19,490.38 and 7,837

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Solution

The fourth proportional to 14,122.60, 19,490.38 and 7,837 is: 10,815.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,122.60 : 19,490.38 = 7,837 : x
  2. Step 2: Convert to fraction form
    14,122.60/19,490.38 = 7,837/x
  3. Step 3: Cross multiply
    14,122.60x = 19,490.38 × 7,837
  4. Step 4: Simplify right side
    14,122.60x = 152,746,108.06
  5. Step 5: Solve for x
    x = 152,746,108.06/14,122.60
  6. Step 6: Final answer
    x = 10,815.72

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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.