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Finding the Fourth Proportional to 23,827.84, 35,716.76 and 8,027.40

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Solution

The fourth proportional to 23,827.84, 35,716.76 and 8,027.40 is: 12,032.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,827.84 : 35,716.76 = 8,027.40 : x
  2. Step 2: Convert to fraction form
    23,827.84/35,716.76 = 8,027.40/x
  3. Step 3: Cross multiply
    23,827.84x = 35,716.76 × 8,027.40
  4. Step 4: Simplify right side
    23,827.84x = 286,712,719.22
  5. Step 5: Solve for x
    x = 286,712,719.22/23,827.84
  6. Step 6: Final answer
    x = 12,032.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.