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Finding the Fourth Proportional to 17,790.64, 24,532.62 and 15,281

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Solution

The fourth proportional to 17,790.64, 24,532.62 and 15,281 is: 21,071.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,790.64 : 24,532.62 = 15,281 : x
  2. Step 2: Convert to fraction form
    17,790.64/24,532.62 = 15,281/x
  3. Step 3: Cross multiply
    17,790.64x = 24,532.62 × 15,281
  4. Step 4: Simplify right side
    17,790.64x = 374,882,966.22
  5. Step 5: Solve for x
    x = 374,882,966.22/17,790.64
  6. Step 6: Final answer
    x = 21,071.92

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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.