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Finding the Fourth Proportional to 14,725.64, 20,321.58 and 8,438

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Solution

The fourth proportional to 14,725.64, 20,321.58 and 8,438 is: 11,644.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,725.64 : 20,321.58 = 8,438 : x
  2. Step 2: Convert to fraction form
    14,725.64/20,321.58 = 8,438/x
  3. Step 3: Cross multiply
    14,725.64x = 20,321.58 × 8,438
  4. Step 4: Simplify right side
    14,725.64x = 171,473,492.04
  5. Step 5: Solve for x
    x = 171,473,492.04/14,725.64
  6. Step 6: Final answer
    x = 11,644.55

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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.