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Finding the Fourth Proportional to 15,502.90, 21,393.74 and 8,429.50

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Solution

The fourth proportional to 15,502.90, 21,393.74 and 8,429.50 is: 11,632.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,502.90 : 21,393.74 = 8,429.50 : x
  2. Step 2: Convert to fraction form
    15,502.90/21,393.74 = 8,429.50/x
  3. Step 3: Cross multiply
    15,502.90x = 21,393.74 × 8,429.50
  4. Step 4: Simplify right side
    15,502.90x = 180,338,531.33
  5. Step 5: Solve for x
    x = 180,338,531.33/15,502.90
  6. Step 6: Final answer
    x = 11,632.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.