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Finding the Fourth Proportional to 13,778.34, 19,014.03 and 7,490.58

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Solution

The fourth proportional to 13,778.34, 19,014.03 and 7,490.58 is: 10,336.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,778.34 : 19,014.03 = 7,490.58 : x
  2. Step 2: Convert to fraction form
    13,778.34/19,014.03 = 7,490.58/x
  3. Step 3: Cross multiply
    13,778.34x = 19,014.03 × 7,490.58
  4. Step 4: Simplify right side
    13,778.34x = 142,426,112.84
  5. Step 5: Solve for x
    x = 142,426,112.84/13,778.34
  6. Step 6: Final answer
    x = 10,336.96

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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.