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Finding the Fourth Proportional to 13,907.60, 19,192.36 and 7,534.05

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Solution

The fourth proportional to 13,907.60, 19,192.36 and 7,534.05 is: 10,396.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.60 : 19,192.36 = 7,534.05 : x
  2. Step 2: Convert to fraction form
    13,907.60/19,192.36 = 7,534.05/x
  3. Step 3: Cross multiply
    13,907.60x = 19,192.36 × 7,534.05
  4. Step 4: Simplify right side
    13,907.60x = 144,596,199.86
  5. Step 5: Solve for x
    x = 144,596,199.86/13,907.60
  6. Step 6: Final answer
    x = 10,396.92

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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.