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Finding the Fourth Proportional to 22,577.39, 33,886.88 and 11,492

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Solution

The fourth proportional to 22,577.39, 33,886.88 and 11,492 is: 17,248.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,577.39 : 33,886.88 = 11,492 : x
  2. Step 2: Convert to fraction form
    22,577.39/33,886.88 = 11,492/x
  3. Step 3: Cross multiply
    22,577.39x = 33,886.88 × 11,492
  4. Step 4: Simplify right side
    22,577.39x = 389,428,024.96
  5. Step 5: Solve for x
    x = 389,428,024.96/22,577.39
  6. Step 6: Final answer
    x = 17,248.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.