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Finding the Fourth Proportional to 14,646.69, 21,971.06 and 5,881.61

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Solution

The fourth proportional to 14,646.69, 21,971.06 and 5,881.61 is: 8,822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,646.69 : 21,971.06 = 5,881.61 : x
  2. Step 2: Convert to fraction form
    14,646.69/21,971.06 = 5,881.61/x
  3. Step 3: Cross multiply
    14,646.69x = 21,971.06 × 5,881.61
  4. Step 4: Simplify right side
    14,646.69x = 129,225,206.21
  5. Step 5: Solve for x
    x = 129,225,206.21/14,646.69
  6. Step 6: Final answer
    x = 8,822.83

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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.