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Finding the Fourth Proportional to 13,423.64, 20,126.84 and 4,659.18

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Solution

The fourth proportional to 13,423.64, 20,126.84 and 4,659.18 is: 6,985.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.64 : 20,126.84 = 4,659.18 : x
  2. Step 2: Convert to fraction form
    13,423.64/20,126.84 = 4,659.18/x
  3. Step 3: Cross multiply
    13,423.64x = 20,126.84 × 4,659.18
  4. Step 4: Simplify right side
    13,423.64x = 93,774,570.39
  5. Step 5: Solve for x
    x = 93,774,570.39/13,423.64
  6. Step 6: Final answer
    x = 6,985.78

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