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Finding the Fourth Proportional to 14,137.93, 21,207.35 and 7,114.11

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Solution

The fourth proportional to 14,137.93, 21,207.35 and 7,114.11 is: 10,671.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.93 : 21,207.35 = 7,114.11 : x
  2. Step 2: Convert to fraction form
    14,137.93/21,207.35 = 7,114.11/x
  3. Step 3: Cross multiply
    14,137.93x = 21,207.35 × 7,114.11
  4. Step 4: Simplify right side
    14,137.93x = 150,871,420.71
  5. Step 5: Solve for x
    x = 150,871,420.71/14,137.93
  6. Step 6: Final answer
    x = 10,671.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.