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Finding the Fourth Proportional to 13,868.14, 19,138.04 and 7,580.52

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Solution

The fourth proportional to 13,868.14, 19,138.04 and 7,580.52 is: 10,461.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,868.14 : 19,138.04 = 7,580.52 : x
  2. Step 2: Convert to fraction form
    13,868.14/19,138.04 = 7,580.52/x
  3. Step 3: Cross multiply
    13,868.14x = 19,138.04 × 7,580.52
  4. Step 4: Simplify right side
    13,868.14x = 145,076,294.98
  5. Step 5: Solve for x
    x = 145,076,294.98/13,868.14
  6. Step 6: Final answer
    x = 10,461.12

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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.