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Finding the Fourth Proportional to 23,858.68, 32,924.70 and 13,787.08

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Solution

The fourth proportional to 23,858.68, 32,924.70 and 13,787.08 is: 19,026.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,858.68 : 32,924.70 = 13,787.08 : x
  2. Step 2: Convert to fraction form
    23,858.68/32,924.70 = 13,787.08/x
  3. Step 3: Cross multiply
    23,858.68x = 32,924.70 × 13,787.08
  4. Step 4: Simplify right side
    23,858.68x = 453,935,472.88
  5. Step 5: Solve for x
    x = 453,935,472.88/23,858.68
  6. Step 6: Final answer
    x = 19,026.01

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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.