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Finding the Fourth Proportional to 14,113.42, 19,475.12 and 8,147.01

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Solution

The fourth proportional to 14,113.42, 19,475.12 and 8,147.01 is: 11,242.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,113.42 : 19,475.12 = 8,147.01 : x
  2. Step 2: Convert to fraction form
    14,113.42/19,475.12 = 8,147.01/x
  3. Step 3: Cross multiply
    14,113.42x = 19,475.12 × 8,147.01
  4. Step 4: Simplify right side
    14,113.42x = 158,664,044.96
  5. Step 5: Solve for x
    x = 158,664,044.96/14,113.42
  6. Step 6: Final answer
    x = 11,242.07

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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.