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Finding the Fourth Proportional to 28,894.75, 39,875 and 15,646.75

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Solution

The fourth proportional to 28,894.75, 39,875 and 15,646.75 is: 21,592.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,894.75 : 39,875 = 15,646.75 : x
  2. Step 2: Convert to fraction form
    28,894.75/39,875 = 15,646.75/x
  3. Step 3: Cross multiply
    28,894.75x = 39,875 × 15,646.75
  4. Step 4: Simplify right side
    28,894.75x = 623,914,156.25
  5. Step 5: Solve for x
    x = 623,914,156.25/28,894.75
  6. Step 6: Final answer
    x = 21,592.65

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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.