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Finding the Fourth Proportional to 14,728.32, 20,299.68 and 10,892.16

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Solution

The fourth proportional to 14,728.32, 20,299.68 and 10,892.16 is: 15,012.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,728.32 : 20,299.68 = 10,892.16 : x
  2. Step 2: Convert to fraction form
    14,728.32/20,299.68 = 10,892.16/x
  3. Step 3: Cross multiply
    14,728.32x = 20,299.68 × 10,892.16
  4. Step 4: Simplify right side
    14,728.32x = 221,107,362.51
  5. Step 5: Solve for x
    x = 221,107,362.51/14,728.32
  6. Step 6: Final answer
    x = 15,012.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.