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Finding the Fourth Proportional to 10,223.22, 14,147.94 and 9,977.39

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Solution

The fourth proportional to 10,223.22, 14,147.94 and 9,977.39 is: 13,807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,223.22 : 14,147.94 = 9,977.39 : x
  2. Step 2: Convert to fraction form
    10,223.22/14,147.94 = 9,977.39/x
  3. Step 3: Cross multiply
    10,223.22x = 14,147.94 × 9,977.39
  4. Step 4: Simplify right side
    10,223.22x = 141,159,515.08
  5. Step 5: Solve for x
    x = 141,159,515.08/10,223.22
  6. Step 6: Final answer
    x = 13,807.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.