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Finding the Fourth Proportional to 14,855.16, 20,509.44 and 9,559.18

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Solution

The fourth proportional to 14,855.16, 20,509.44 and 9,559.18 is: 13,197.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,855.16 : 20,509.44 = 9,559.18 : x
  2. Step 2: Convert to fraction form
    14,855.16/20,509.44 = 9,559.18/x
  3. Step 3: Cross multiply
    14,855.16x = 20,509.44 × 9,559.18
  4. Step 4: Simplify right side
    14,855.16x = 196,053,428.66
  5. Step 5: Solve for x
    x = 196,053,428.66/14,855.16
  6. Step 6: Final answer
    x = 13,197.67

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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.