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Finding the Fourth Proportional to 19,495.16, 29,226.36 and 7,802

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Solution

The fourth proportional to 19,495.16, 29,226.36 and 7,802 is: 11,696.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,495.16 : 29,226.36 = 7,802 : x
  2. Step 2: Convert to fraction form
    19,495.16/29,226.36 = 7,802/x
  3. Step 3: Cross multiply
    19,495.16x = 29,226.36 × 7,802
  4. Step 4: Simplify right side
    19,495.16x = 228,024,060.72
  5. Step 5: Solve for x
    x = 228,024,060.72/19,495.16
  6. Step 6: Final answer
    x = 11,696.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.