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Finding the Fourth Proportional to 15,813.84, 23,726.52 and 8,026.32

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Solution

The fourth proportional to 15,813.84, 23,726.52 and 8,026.32 is: 12,042.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,813.84 : 23,726.52 = 8,026.32 : x
  2. Step 2: Convert to fraction form
    15,813.84/23,726.52 = 8,026.32/x
  3. Step 3: Cross multiply
    15,813.84x = 23,726.52 × 8,026.32
  4. Step 4: Simplify right side
    15,813.84x = 190,436,642.01
  5. Step 5: Solve for x
    x = 190,436,642.01/15,813.84
  6. Step 6: Final answer
    x = 12,042.40

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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.