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Finding the Fourth Proportional to 13,970.21, 19,278.93 and 7,596.80

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Solution

The fourth proportional to 13,970.21, 19,278.93 and 7,596.80 is: 10,483.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.21 : 19,278.93 = 7,596.80 : x
  2. Step 2: Convert to fraction form
    13,970.21/19,278.93 = 7,596.80/x
  3. Step 3: Cross multiply
    13,970.21x = 19,278.93 × 7,596.80
  4. Step 4: Simplify right side
    13,970.21x = 146,458,175.42
  5. Step 5: Solve for x
    x = 146,458,175.42/13,970.21
  6. Step 6: Final answer
    x = 10,483.61

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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.