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Finding the Fourth Proportional to 23,823.31, 32,875.03 and 13,212.71

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Solution

The fourth proportional to 23,823.31, 32,875.03 and 13,212.71 is: 18,232.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.31 : 32,875.03 = 13,212.71 : x
  2. Step 2: Convert to fraction form
    23,823.31/32,875.03 = 13,212.71/x
  3. Step 3: Cross multiply
    23,823.31x = 32,875.03 × 13,212.71
  4. Step 4: Simplify right side
    23,823.31x = 434,368,237.63
  5. Step 5: Solve for x
    x = 434,368,237.63/23,823.31
  6. Step 6: Final answer
    x = 18,232.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.