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Finding the Fourth Proportional to 23,787.84, 35,681.76 and 8,204.25

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Solution

The fourth proportional to 23,787.84, 35,681.76 and 8,204.25 is: 12,306.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,787.84 : 35,681.76 = 8,204.25 : x
  2. Step 2: Convert to fraction form
    23,787.84/35,681.76 = 8,204.25/x
  3. Step 3: Cross multiply
    23,787.84x = 35,681.76 × 8,204.25
  4. Step 4: Simplify right side
    23,787.84x = 292,742,079.48
  5. Step 5: Solve for x
    x = 292,742,079.48/23,787.84
  6. Step 6: Final answer
    x = 12,306.38

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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.