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Finding the Fourth Proportional to 14,421.66, 19,902.12 and 8,134.16

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Solution

The fourth proportional to 14,421.66, 19,902.12 and 8,134.16 is: 11,225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.66 : 19,902.12 = 8,134.16 : x
  2. Step 2: Convert to fraction form
    14,421.66/19,902.12 = 8,134.16/x
  3. Step 3: Cross multiply
    14,421.66x = 19,902.12 × 8,134.16
  4. Step 4: Simplify right side
    14,421.66x = 161,887,028.42
  5. Step 5: Solve for x
    x = 161,887,028.42/14,421.66
  6. Step 6: Final answer
    x = 11,225.27

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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.