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Finding the Fourth Proportional to 24,516.84, 33,829.74 and 15,088.44

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Solution

The fourth proportional to 24,516.84, 33,829.74 and 15,088.44 is: 20,819.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,516.84 : 33,829.74 = 15,088.44 : x
  2. Step 2: Convert to fraction form
    24,516.84/33,829.74 = 15,088.44/x
  3. Step 3: Cross multiply
    24,516.84x = 33,829.74 × 15,088.44
  4. Step 4: Simplify right side
    24,516.84x = 510,438,002.21
  5. Step 5: Solve for x
    x = 510,438,002.21/24,516.84
  6. Step 6: Final answer
    x = 20,819.89

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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.