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Finding the Fourth Proportional to 15,853.84, 23,784.36 and 8,454.40

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Solution

The fourth proportional to 15,853.84, 23,784.36 and 8,454.40 is: 12,683.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,853.84 : 23,784.36 = 8,454.40 : x
  2. Step 2: Convert to fraction form
    15,853.84/23,784.36 = 8,454.40/x
  3. Step 3: Cross multiply
    15,853.84x = 23,784.36 × 8,454.40
  4. Step 4: Simplify right side
    15,853.84x = 201,082,493.18
  5. Step 5: Solve for x
    x = 201,082,493.18/15,853.84
  6. Step 6: Final answer
    x = 12,683.52

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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.