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Finding the Fourth Proportional to 14,129.10, 21,193.65 and 12,897.90

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Solution

The fourth proportional to 14,129.10, 21,193.65 and 12,897.90 is: 19,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,129.10 : 21,193.65 = 12,897.90 : x
  2. Step 2: Convert to fraction form
    14,129.10/21,193.65 = 12,897.90/x
  3. Step 3: Cross multiply
    14,129.10x = 21,193.65 × 12,897.90
  4. Step 4: Simplify right side
    14,129.10x = 273,353,578.34
  5. Step 5: Solve for x
    x = 273,353,578.34/14,129.10
  6. Step 6: Final answer
    x = 19,346.85

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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.