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Finding the Fourth Proportional to 22,758.01, 34,130.50 and 7,764.84

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Solution

The fourth proportional to 22,758.01, 34,130.50 and 7,764.84 is: 11,645.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,758.01 : 34,130.50 = 7,764.84 : x
  2. Step 2: Convert to fraction form
    22,758.01/34,130.50 = 7,764.84/x
  3. Step 3: Cross multiply
    22,758.01x = 34,130.50 × 7,764.84
  4. Step 4: Simplify right side
    22,758.01x = 265,017,852.21
  5. Step 5: Solve for x
    x = 265,017,852.21/22,758.01
  6. Step 6: Final answer
    x = 11,645.04

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