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Finding the Fourth Proportional to 13,773.60, 20,652.84 and 9,396

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Solution

The fourth proportional to 13,773.60, 20,652.84 and 9,396 is: 14,088.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.60 : 20,652.84 = 9,396 : x
  2. Step 2: Convert to fraction form
    13,773.60/20,652.84 = 9,396/x
  3. Step 3: Cross multiply
    13,773.60x = 20,652.84 × 9,396
  4. Step 4: Simplify right side
    13,773.60x = 194,054,084.64
  5. Step 5: Solve for x
    x = 194,054,084.64/13,773.60
  6. Step 6: Final answer
    x = 14,088.84

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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.