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Finding the Fourth Proportional to 12,420.14, 18,636.35 and 9,147.74

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Solution

The fourth proportional to 12,420.14, 18,636.35 and 9,147.74 is: 13,726.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,420.14 : 18,636.35 = 9,147.74 : x
  2. Step 2: Convert to fraction form
    12,420.14/18,636.35 = 9,147.74/x
  3. Step 3: Cross multiply
    12,420.14x = 18,636.35 × 9,147.74
  4. Step 4: Simplify right side
    12,420.14x = 170,480,345.43
  5. Step 5: Solve for x
    x = 170,480,345.43/12,420.14
  6. Step 6: Final answer
    x = 13,726.13

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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.