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Finding the Fourth Proportional to 28,057.04, 38,716.80 and 15,482

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Solution

The fourth proportional to 28,057.04, 38,716.80 and 15,482 is: 21,364.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,057.04 : 38,716.80 = 15,482 : x
  2. Step 2: Convert to fraction form
    28,057.04/38,716.80 = 15,482/x
  3. Step 3: Cross multiply
    28,057.04x = 38,716.80 × 15,482
  4. Step 4: Simplify right side
    28,057.04x = 599,413,497.60
  5. Step 5: Solve for x
    x = 599,413,497.60/28,057.04
  6. Step 6: Final answer
    x = 21,364.10

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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.