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Finding the Fourth Proportional to 15,890.40, 23,828.40 and 6,026.40

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Solution

The fourth proportional to 15,890.40, 23,828.40 and 6,026.40 is: 9,036.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,890.40 : 23,828.40 = 6,026.40 : x
  2. Step 2: Convert to fraction form
    15,890.40/23,828.40 = 6,026.40/x
  3. Step 3: Cross multiply
    15,890.40x = 23,828.40 × 6,026.40
  4. Step 4: Simplify right side
    15,890.40x = 143,599,469.76
  5. Step 5: Solve for x
    x = 143,599,469.76/15,890.40
  6. Step 6: Final answer
    x = 9,036.87

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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.