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Finding the Fourth Proportional to 14,588.30, 20,124.46 and 8,534.58

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Solution

The fourth proportional to 14,588.30, 20,124.46 and 8,534.58 is: 11,773.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.30 : 20,124.46 = 8,534.58 : x
  2. Step 2: Convert to fraction form
    14,588.30/20,124.46 = 8,534.58/x
  3. Step 3: Cross multiply
    14,588.30x = 20,124.46 × 8,534.58
  4. Step 4: Simplify right side
    14,588.30x = 171,753,670.53
  5. Step 5: Solve for x
    x = 171,753,670.53/14,588.30
  6. Step 6: Final answer
    x = 11,773.39

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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.