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Finding the Fourth Proportional to 23,212.56, 34,823.16 and 7,641.12

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Solution

The fourth proportional to 23,212.56, 34,823.16 and 7,641.12 is: 11,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,212.56 : 34,823.16 = 7,641.12 : x
  2. Step 2: Convert to fraction form
    23,212.56/34,823.16 = 7,641.12/x
  3. Step 3: Cross multiply
    23,212.56x = 34,823.16 × 7,641.12
  4. Step 4: Simplify right side
    23,212.56x = 266,087,944.34
  5. Step 5: Solve for x
    x = 266,087,944.34/23,212.56
  6. Step 6: Final answer
    x = 11,463.10

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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.