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Finding the Fourth Proportional to 13,907.50, 19,192.60 and 7,534.22

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Solution

The fourth proportional to 13,907.50, 19,192.60 and 7,534.22 is: 10,397.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.50 : 19,192.60 = 7,534.22 : x
  2. Step 2: Convert to fraction form
    13,907.50/19,192.60 = 7,534.22/x
  3. Step 3: Cross multiply
    13,907.50x = 19,192.60 × 7,534.22
  4. Step 4: Simplify right side
    13,907.50x = 144,601,141.85
  5. Step 5: Solve for x
    x = 144,601,141.85/13,907.50
  6. Step 6: Final answer
    x = 10,397.35

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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.