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Finding the Fourth Proportional to 15,840.69, 23,762.33 and 4,153.88

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Solution

The fourth proportional to 15,840.69, 23,762.33 and 4,153.88 is: 6,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,840.69 : 23,762.33 = 4,153.88 : x
  2. Step 2: Convert to fraction form
    15,840.69/23,762.33 = 4,153.88/x
  3. Step 3: Cross multiply
    15,840.69x = 23,762.33 × 4,153.88
  4. Step 4: Simplify right side
    15,840.69x = 98,705,727.76
  5. Step 5: Solve for x
    x = 98,705,727.76/15,840.69
  6. Step 6: Final answer
    x = 6,231.15

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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.