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Finding the Fourth Proportional to 15,411.64, 21,279.90 and 12,774.28

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Solution

The fourth proportional to 15,411.64, 21,279.90 and 12,774.28 is: 17,638.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,411.64 : 21,279.90 = 12,774.28 : x
  2. Step 2: Convert to fraction form
    15,411.64/21,279.90 = 12,774.28/x
  3. Step 3: Cross multiply
    15,411.64x = 21,279.90 × 12,774.28
  4. Step 4: Simplify right side
    15,411.64x = 271,835,400.97
  5. Step 5: Solve for x
    x = 271,835,400.97/15,411.64
  6. Step 6: Final answer
    x = 17,638.32

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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.