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Finding the Fourth Proportional to 14,884.65, 20,538.63 and 9,586.62

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Solution

The fourth proportional to 14,884.65, 20,538.63 and 9,586.62 is: 13,228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,884.65 : 20,538.63 = 9,586.62 : x
  2. Step 2: Convert to fraction form
    14,884.65/20,538.63 = 9,586.62/x
  3. Step 3: Cross multiply
    14,884.65x = 20,538.63 × 9,586.62
  4. Step 4: Simplify right side
    14,884.65x = 196,896,041.13
  5. Step 5: Solve for x
    x = 196,896,041.13/14,884.65
  6. Step 6: Final answer
    x = 13,228.13

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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.