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Finding the Fourth Proportional to 28,218.25, 38,941.19 and 15,643

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Solution

The fourth proportional to 28,218.25, 38,941.19 and 15,643 is: 21,587.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,218.25 : 38,941.19 = 15,643 : x
  2. Step 2: Convert to fraction form
    28,218.25/38,941.19 = 15,643/x
  3. Step 3: Cross multiply
    28,218.25x = 38,941.19 × 15,643
  4. Step 4: Simplify right side
    28,218.25x = 609,157,035.17
  5. Step 5: Solve for x
    x = 609,157,035.17/28,218.25
  6. Step 6: Final answer
    x = 21,587.34

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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.