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Finding the Fourth Proportional to 28,838, 39,800.76 and 17,666.48

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Solution

The fourth proportional to 28,838, 39,800.76 and 17,666.48 is: 24,382.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,838 : 39,800.76 = 17,666.48 : x
  2. Step 2: Convert to fraction form
    28,838/39,800.76 = 17,666.48/x
  3. Step 3: Cross multiply
    28,838x = 39,800.76 × 17,666.48
  4. Step 4: Simplify right side
    28,838x = 703,139,330.52
  5. Step 5: Solve for x
    x = 703,139,330.52/28,838
  6. Step 6: Final answer
    x = 24,382.39

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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.