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Finding the Fourth Proportional to 13,970.25, 19,279.35 and 7,683.03

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Solution

The fourth proportional to 13,970.25, 19,279.35 and 7,683.03 is: 10,602.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,970.25 : 19,279.35 = 7,683.03 : x
  2. Step 2: Convert to fraction form
    13,970.25/19,279.35 = 7,683.03/x
  3. Step 3: Cross multiply
    13,970.25x = 19,279.35 × 7,683.03
  4. Step 4: Simplify right side
    13,970.25x = 148,123,824.43
  5. Step 5: Solve for x
    x = 148,123,824.43/13,970.25
  6. Step 6: Final answer
    x = 10,602.80

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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.