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Finding the Fourth Proportional to 13,907.80, 19,192.62 and 7,534.30

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Solution

The fourth proportional to 13,907.80, 19,192.62 and 7,534.30 is: 10,397.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.80 : 19,192.62 = 7,534.30 : x
  2. Step 2: Convert to fraction form
    13,907.80/19,192.62 = 7,534.30/x
  3. Step 3: Cross multiply
    13,907.80x = 19,192.62 × 7,534.30
  4. Step 4: Simplify right side
    13,907.80x = 144,602,956.87
  5. Step 5: Solve for x
    x = 144,602,956.87/13,907.80
  6. Step 6: Final answer
    x = 10,397.26

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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.