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Finding the Fourth Proportional to 13,021.17, 19,525.92 and 7,758.66

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Solution

The fourth proportional to 13,021.17, 19,525.92 and 7,758.66 is: 11,634.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.17 : 19,525.92 = 7,758.66 : x
  2. Step 2: Convert to fraction form
    13,021.17/19,525.92 = 7,758.66/x
  3. Step 3: Cross multiply
    13,021.17x = 19,525.92 × 7,758.66
  4. Step 4: Simplify right side
    13,021.17x = 151,495,018.59
  5. Step 5: Solve for x
    x = 151,495,018.59/13,021.17
  6. Step 6: Final answer
    x = 11,634.52

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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.