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Finding the Fourth Proportional to 28,580.74, 39,406.57 and 21,004

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Solution

The fourth proportional to 28,580.74, 39,406.57 and 21,004 is: 28,959.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,580.74 : 39,406.57 = 21,004 : x
  2. Step 2: Convert to fraction form
    28,580.74/39,406.57 = 21,004/x
  3. Step 3: Cross multiply
    28,580.74x = 39,406.57 × 21,004
  4. Step 4: Simplify right side
    28,580.74x = 827,695,596.28
  5. Step 5: Solve for x
    x = 827,695,596.28/28,580.74
  6. Step 6: Final answer
    x = 28,959.91

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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.