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Finding the Fourth Proportional to 22,709.84, 34,278.05 and 22,709.84

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Solution

The fourth proportional to 22,709.84, 34,278.05 and 22,709.84 is: 34,278.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,709.84 : 34,278.05 = 22,709.84 : x
  2. Step 2: Convert to fraction form
    22,709.84/34,278.05 = 22,709.84/x
  3. Step 3: Cross multiply
    22,709.84x = 34,278.05 × 22,709.84
  4. Step 4: Simplify right side
    22,709.84x = 778,449,031.01
  5. Step 5: Solve for x
    x = 778,449,031.01/22,709.84
  6. Step 6: Final answer
    x = 34,278.05

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.