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Finding the Fourth Proportional to 15,903.84, 23,858.79 and 6,416.91

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Solution

The fourth proportional to 15,903.84, 23,858.79 and 6,416.91 is: 9,626.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,903.84 : 23,858.79 = 6,416.91 : x
  2. Step 2: Convert to fraction form
    15,903.84/23,858.79 = 6,416.91/x
  3. Step 3: Cross multiply
    15,903.84x = 23,858.79 × 6,416.91
  4. Step 4: Simplify right side
    15,903.84x = 153,099,708.14
  5. Step 5: Solve for x
    x = 153,099,708.14/15,903.84
  6. Step 6: Final answer
    x = 9,626.59

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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.