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Finding the Fourth Proportional to 14,421.84, 19,902.14 and 8,134.22

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Solution

The fourth proportional to 14,421.84, 19,902.14 and 8,134.22 is: 11,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,421.84 : 19,902.14 = 8,134.22 : x
  2. Step 2: Convert to fraction form
    14,421.84/19,902.14 = 8,134.22/x
  3. Step 3: Cross multiply
    14,421.84x = 19,902.14 × 8,134.22
  4. Step 4: Simplify right side
    14,421.84x = 161,888,385.23
  5. Step 5: Solve for x
    x = 161,888,385.23/14,421.84
  6. Step 6: Final answer
    x = 11,225.22

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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.