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Finding the Fourth Proportional to 14,494.64, 20,007.32 and 8,526

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Solution

The fourth proportional to 14,494.64, 20,007.32 and 8,526 is: 11,768.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,494.64 : 20,007.32 = 8,526 : x
  2. Step 2: Convert to fraction form
    14,494.64/20,007.32 = 8,526/x
  3. Step 3: Cross multiply
    14,494.64x = 20,007.32 × 8,526
  4. Step 4: Simplify right side
    14,494.64x = 170,582,410.32
  5. Step 5: Solve for x
    x = 170,582,410.32/14,494.64
  6. Step 6: Final answer
    x = 11,768.65

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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.