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Finding the Fourth Proportional to 15,698.53, 23,544.12 and 5,842.45

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Solution

The fourth proportional to 15,698.53, 23,544.12 and 5,842.45 is: 8,762.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,698.53 : 23,544.12 = 5,842.45 : x
  2. Step 2: Convert to fraction form
    15,698.53/23,544.12 = 5,842.45/x
  3. Step 3: Cross multiply
    15,698.53x = 23,544.12 × 5,842.45
  4. Step 4: Simplify right side
    15,698.53x = 137,555,343.89
  5. Step 5: Solve for x
    x = 137,555,343.89/15,698.53
  6. Step 6: Final answer
    x = 8,762.31

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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.