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Finding the Fourth Proportional to 14,228.48, 19,637.16 and 7,942.16

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Solution

The fourth proportional to 14,228.48, 19,637.16 and 7,942.16 is: 10,961.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.48 : 19,637.16 = 7,942.16 : x
  2. Step 2: Convert to fraction form
    14,228.48/19,637.16 = 7,942.16/x
  3. Step 3: Cross multiply
    14,228.48x = 19,637.16 × 7,942.16
  4. Step 4: Simplify right side
    14,228.48x = 155,961,466.67
  5. Step 5: Solve for x
    x = 155,961,466.67/14,228.48
  6. Step 6: Final answer
    x = 10,961.22

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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.