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Finding the Fourth Proportional to 23,826.84, 35,715.26 and 8,026.40

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Solution

The fourth proportional to 23,826.84, 35,715.26 and 8,026.40 is: 12,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,826.84 : 35,715.26 = 8,026.40 : x
  2. Step 2: Convert to fraction form
    23,826.84/35,715.26 = 8,026.40/x
  3. Step 3: Cross multiply
    23,826.84x = 35,715.26 × 8,026.40
  4. Step 4: Simplify right side
    23,826.84x = 286,664,962.86
  5. Step 5: Solve for x
    x = 286,664,962.86/23,826.84
  6. Step 6: Final answer
    x = 12,031.18

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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.