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Finding the Fourth Proportional to 15,821.51, 23,743.94 and 7,501.55

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Solution

The fourth proportional to 15,821.51, 23,743.94 and 7,501.55 is: 11,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,821.51 : 23,743.94 = 7,501.55 : x
  2. Step 2: Convert to fraction form
    15,821.51/23,743.94 = 7,501.55/x
  3. Step 3: Cross multiply
    15,821.51x = 23,743.94 × 7,501.55
  4. Step 4: Simplify right side
    15,821.51x = 178,116,196.88
  5. Step 5: Solve for x
    x = 178,116,196.88/15,821.51
  6. Step 6: Final answer
    x = 11,257.85

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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.