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Finding the Fourth Proportional to 20,877.45, 31,326.47 and 9,782.22

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Solution

The fourth proportional to 20,877.45, 31,326.47 and 9,782.22 is: 14,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,877.45 : 31,326.47 = 9,782.22 : x
  2. Step 2: Convert to fraction form
    20,877.45/31,326.47 = 9,782.22/x
  3. Step 3: Cross multiply
    20,877.45x = 31,326.47 × 9,782.22
  4. Step 4: Simplify right side
    20,877.45x = 306,442,421.36
  5. Step 5: Solve for x
    x = 306,442,421.36/20,877.45
  6. Step 6: Final answer
    x = 14,678.15

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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.