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Finding the Fourth Proportional to 28,288.64, 39,020.36 and 17,382

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Solution

The fourth proportional to 28,288.64, 39,020.36 and 17,382 is: 23,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,288.64 : 39,020.36 = 17,382 : x
  2. Step 2: Convert to fraction form
    28,288.64/39,020.36 = 17,382/x
  3. Step 3: Cross multiply
    28,288.64x = 39,020.36 × 17,382
  4. Step 4: Simplify right side
    28,288.64x = 678,251,897.52
  5. Step 5: Solve for x
    x = 678,251,897.52/28,288.64
  6. Step 6: Final answer
    x = 23,976.12

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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.