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Finding the Fourth Proportional to 14,459.46, 21,658.83 and 9,191.82

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Solution

The fourth proportional to 14,459.46, 21,658.83 and 9,191.82 is: 13,768.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,459.46 : 21,658.83 = 9,191.82 : x
  2. Step 2: Convert to fraction form
    14,459.46/21,658.83 = 9,191.82/x
  3. Step 3: Cross multiply
    14,459.46x = 21,658.83 × 9,191.82
  4. Step 4: Simplify right side
    14,459.46x = 199,084,066.77
  5. Step 5: Solve for x
    x = 199,084,066.77/14,459.46
  6. Step 6: Final answer
    x = 13,768.43

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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.