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Finding the Fourth Proportional to 13,726.60, 18,922.88 and 9,002.68

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Solution

The fourth proportional to 13,726.60, 18,922.88 and 9,002.68 is: 12,410.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,726.60 : 18,922.88 = 9,002.68 : x
  2. Step 2: Convert to fraction form
    13,726.60/18,922.88 = 9,002.68/x
  3. Step 3: Cross multiply
    13,726.60x = 18,922.88 × 9,002.68
  4. Step 4: Simplify right side
    13,726.60x = 170,356,633.32
  5. Step 5: Solve for x
    x = 170,356,633.32/13,726.60
  6. Step 6: Final answer
    x = 12,410.69

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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.