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Finding the Fourth Proportional to 14,509.16, 20,019.13 and 9,202.04

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Solution

The fourth proportional to 14,509.16, 20,019.13 and 9,202.04 is: 12,696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,509.16 : 20,019.13 = 9,202.04 : x
  2. Step 2: Convert to fraction form
    14,509.16/20,019.13 = 9,202.04/x
  3. Step 3: Cross multiply
    14,509.16x = 20,019.13 × 9,202.04
  4. Step 4: Simplify right side
    14,509.16x = 184,216,734.93
  5. Step 5: Solve for x
    x = 184,216,734.93/14,509.16
  6. Step 6: Final answer
    x = 12,696.59

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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.