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Finding the Fourth Proportional to 21,053.64, 31,555.29 and 9,793.77

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Solution

The fourth proportional to 21,053.64, 31,555.29 and 9,793.77 is: 14,678.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,053.64 : 31,555.29 = 9,793.77 : x
  2. Step 2: Convert to fraction form
    21,053.64/31,555.29 = 9,793.77/x
  3. Step 3: Cross multiply
    21,053.64x = 31,555.29 × 9,793.77
  4. Step 4: Simplify right side
    21,053.64x = 309,045,252.54
  5. Step 5: Solve for x
    x = 309,045,252.54/21,053.64
  6. Step 6: Final answer
    x = 14,678.95

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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.