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Finding the Fourth Proportional to 23,570.70, 32,528.97 and 12,961.14

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Solution

The fourth proportional to 23,570.70, 32,528.97 and 12,961.14 is: 17,887.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,570.70 : 32,528.97 = 12,961.14 : x
  2. Step 2: Convert to fraction form
    23,570.70/32,528.97 = 12,961.14/x
  3. Step 3: Cross multiply
    23,570.70x = 32,528.97 × 12,961.14
  4. Step 4: Simplify right side
    23,570.70x = 421,612,534.23
  5. Step 5: Solve for x
    x = 421,612,534.23/23,570.70
  6. Step 6: Final answer
    x = 17,887.15

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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.