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Finding the Fourth Proportional to 13,528, 18,668.64 and 8,221.83

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Solution

The fourth proportional to 13,528, 18,668.64 and 8,221.83 is: 11,346.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,528 : 18,668.64 = 8,221.83 : x
  2. Step 2: Convert to fraction form
    13,528/18,668.64 = 8,221.83/x
  3. Step 3: Cross multiply
    13,528x = 18,668.64 × 8,221.83
  4. Step 4: Simplify right side
    13,528x = 153,490,384.41
  5. Step 5: Solve for x
    x = 153,490,384.41/13,528
  6. Step 6: Final answer
    x = 11,346.13

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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.