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Finding the Fourth Proportional to 13,857.50, 19,123.77 and 7,570.28

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Solution

The fourth proportional to 13,857.50, 19,123.77 and 7,570.28 is: 10,447.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,857.50 : 19,123.77 = 7,570.28 : x
  2. Step 2: Convert to fraction form
    13,857.50/19,123.77 = 7,570.28/x
  3. Step 3: Cross multiply
    13,857.50x = 19,123.77 × 7,570.28
  4. Step 4: Simplify right side
    13,857.50x = 144,772,293.56
  5. Step 5: Solve for x
    x = 144,772,293.56/13,857.50
  6. Step 6: Final answer
    x = 10,447.22

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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.