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Finding the Fourth Proportional to 14,796.30, 22,199.31 and 6,902.58

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Solution

The fourth proportional to 14,796.30, 22,199.31 and 6,902.58 is: 10,356.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,796.30 : 22,199.31 = 6,902.58 : x
  2. Step 2: Convert to fraction form
    14,796.30/22,199.31 = 6,902.58/x
  3. Step 3: Cross multiply
    14,796.30x = 22,199.31 × 6,902.58
  4. Step 4: Simplify right side
    14,796.30x = 153,232,513.22
  5. Step 5: Solve for x
    x = 153,232,513.22/14,796.30
  6. Step 6: Final answer
    x = 10,356.14

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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.