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Finding the Fourth Proportional to 13,954.98, 19,244.16 and 12,802.50

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Solution

The fourth proportional to 13,954.98, 19,244.16 and 12,802.50 is: 17,654.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,954.98 : 19,244.16 = 12,802.50 : x
  2. Step 2: Convert to fraction form
    13,954.98/19,244.16 = 12,802.50/x
  3. Step 3: Cross multiply
    13,954.98x = 19,244.16 × 12,802.50
  4. Step 4: Simplify right side
    13,954.98x = 246,373,358.40
  5. Step 5: Solve for x
    x = 246,373,358.40/13,954.98
  6. Step 6: Final answer
    x = 17,654.87

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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.