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Finding the Fourth Proportional to 38,706.24, 58,068.96 and 11,004

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Solution

The fourth proportional to 38,706.24, 58,068.96 and 11,004 is: 16,508.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.24 : 58,068.96 = 11,004 : x
  2. Step 2: Convert to fraction form
    38,706.24/58,068.96 = 11,004/x
  3. Step 3: Cross multiply
    38,706.24x = 58,068.96 × 11,004
  4. Step 4: Simplify right side
    38,706.24x = 638,990,835.84
  5. Step 5: Solve for x
    x = 638,990,835.84/38,706.24
  6. Step 6: Final answer
    x = 16,508.73

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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.