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Finding the Fourth Proportional to 14,812.32, 20,439.02 and 9,514.32

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Solution

The fourth proportional to 14,812.32, 20,439.02 and 9,514.32 is: 13,128.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,812.32 : 20,439.02 = 9,514.32 : x
  2. Step 2: Convert to fraction form
    14,812.32/20,439.02 = 9,514.32/x
  3. Step 3: Cross multiply
    14,812.32x = 20,439.02 × 9,514.32
  4. Step 4: Simplify right side
    14,812.32x = 194,463,376.77
  5. Step 5: Solve for x
    x = 194,463,376.77/14,812.32
  6. Step 6: Final answer
    x = 13,128.49

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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.