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Finding the Fourth Proportional to 21,097.48, 31,649.28 and 7,776.85

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Solution

The fourth proportional to 21,097.48, 31,649.28 and 7,776.85 is: 11,666.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,097.48 : 31,649.28 = 7,776.85 : x
  2. Step 2: Convert to fraction form
    21,097.48/31,649.28 = 7,776.85/x
  3. Step 3: Cross multiply
    21,097.48x = 31,649.28 × 7,776.85
  4. Step 4: Simplify right side
    21,097.48x = 246,131,574.08
  5. Step 5: Solve for x
    x = 246,131,574.08/21,097.48
  6. Step 6: Final answer
    x = 11,666.40

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