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Finding the Fourth Proportional to 24,787.64, 37,118.07 and 13,682.00

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Solution

The fourth proportional to 24,787.64, 37,118.07 and 13,682.00 is: 20,488.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,787.64 : 37,118.07 = 13,682.00 : x
  2. Step 2: Convert to fraction form
    24,787.64/37,118.07 = 13,682.00/x
  3. Step 3: Cross multiply
    24,787.64x = 37,118.07 × 13,682.00
  4. Step 4: Simplify right side
    24,787.64x = 507,849,248.15
  5. Step 5: Solve for x
    x = 507,849,248.15/24,787.64
  6. Step 6: Final answer
    x = 20,488.01

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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.