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Finding the Fourth Proportional to 18,702.42, 25,809.20 and 10,636.06

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Solution

The fourth proportional to 18,702.42, 25,809.20 and 10,636.06 is: 14,677.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,702.42 : 25,809.20 = 10,636.06 : x
  2. Step 2: Convert to fraction form
    18,702.42/25,809.20 = 10,636.06/x
  3. Step 3: Cross multiply
    18,702.42x = 25,809.20 × 10,636.06
  4. Step 4: Simplify right side
    18,702.42x = 274,508,199.75
  5. Step 5: Solve for x
    x = 274,508,199.75/18,702.42
  6. Step 6: Final answer
    x = 14,677.68

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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.