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Finding the Fourth Proportional to 14,516.66, 20,039.12 and 9,807.32

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Solution

The fourth proportional to 14,516.66, 20,039.12 and 9,807.32 is: 13,538.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,516.66 : 20,039.12 = 9,807.32 : x
  2. Step 2: Convert to fraction form
    14,516.66/20,039.12 = 9,807.32/x
  3. Step 3: Cross multiply
    14,516.66x = 20,039.12 × 9,807.32
  4. Step 4: Simplify right side
    14,516.66x = 196,529,913.13
  5. Step 5: Solve for x
    x = 196,529,913.13/14,516.66
  6. Step 6: Final answer
    x = 13,538.24

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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.