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Finding the Fourth Proportional to 13,830.68, 20,726.58 and 6,023.09

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Solution

The fourth proportional to 13,830.68, 20,726.58 and 6,023.09 is: 9,026.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,830.68 : 20,726.58 = 6,023.09 : x
  2. Step 2: Convert to fraction form
    13,830.68/20,726.58 = 6,023.09/x
  3. Step 3: Cross multiply
    13,830.68x = 20,726.58 × 6,023.09
  4. Step 4: Simplify right side
    13,830.68x = 124,838,056.73
  5. Step 5: Solve for x
    x = 124,838,056.73/13,830.68
  6. Step 6: Final answer
    x = 9,026.17

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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.