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Finding the Fourth Proportional to 23,576.84, 32,535.13 and 12,965.84

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Solution

The fourth proportional to 23,576.84, 32,535.13 and 12,965.84 is: 17,892.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,576.84 : 32,535.13 = 12,965.84 : x
  2. Step 2: Convert to fraction form
    23,576.84/32,535.13 = 12,965.84/x
  3. Step 3: Cross multiply
    23,576.84x = 32,535.13 × 12,965.84
  4. Step 4: Simplify right side
    23,576.84x = 421,845,094.87
  5. Step 5: Solve for x
    x = 421,845,094.87/23,576.84
  6. Step 6: Final answer
    x = 17,892.35

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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.