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Finding the Fourth Proportional to 15,704.76, 21,682.08 and 10,404.12

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Solution

The fourth proportional to 15,704.76, 21,682.08 and 10,404.12 is: 14,363.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,704.76 : 21,682.08 = 10,404.12 : x
  2. Step 2: Convert to fraction form
    15,704.76/21,682.08 = 10,404.12/x
  3. Step 3: Cross multiply
    15,704.76x = 21,682.08 × 10,404.12
  4. Step 4: Simplify right side
    15,704.76x = 225,582,962.17
  5. Step 5: Solve for x
    x = 225,582,962.17/15,704.76
  6. Step 6: Final answer
    x = 14,363.99

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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.