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Finding the Fourth Proportional to 27,577.60, 38,055.36 and 16,397.44

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Solution

The fourth proportional to 27,577.60, 38,055.36 and 16,397.44 is: 22,627.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,577.60 : 38,055.36 = 16,397.44 : x
  2. Step 2: Convert to fraction form
    27,577.60/38,055.36 = 16,397.44/x
  3. Step 3: Cross multiply
    27,577.60x = 38,055.36 × 16,397.44
  4. Step 4: Simplify right side
    27,577.60x = 624,010,482.28
  5. Step 5: Solve for x
    x = 624,010,482.28/27,577.60
  6. Step 6: Final answer
    x = 22,627.44

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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.