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Finding the Fourth Proportional to 13,865.70, 19,134.60 and 7,578.06

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Solution

The fourth proportional to 13,865.70, 19,134.60 and 7,578.06 is: 10,457.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865.70 : 19,134.60 = 7,578.06 : x
  2. Step 2: Convert to fraction form
    13,865.70/19,134.60 = 7,578.06/x
  3. Step 3: Cross multiply
    13,865.70x = 19,134.60 × 7,578.06
  4. Step 4: Simplify right side
    13,865.70x = 145,003,146.88
  5. Step 5: Solve for x
    x = 145,003,146.88/13,865.70
  6. Step 6: Final answer
    x = 10,457.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.