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Finding the Fourth Proportional to 14,530.32, 21,786.71 and 6,523.63

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Solution

The fourth proportional to 14,530.32, 21,786.71 and 6,523.63 is: 9,781.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,530.32 : 21,786.71 = 6,523.63 : x
  2. Step 2: Convert to fraction form
    14,530.32/21,786.71 = 6,523.63/x
  3. Step 3: Cross multiply
    14,530.32x = 21,786.71 × 6,523.63
  4. Step 4: Simplify right side
    14,530.32x = 142,128,347.87
  5. Step 5: Solve for x
    x = 142,128,347.87/14,530.32
  6. Step 6: Final answer
    x = 9,781.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.