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Finding the Fourth Proportional to 14,200.13, 21,302.93 and 6,408.95

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Solution

The fourth proportional to 14,200.13, 21,302.93 and 6,408.95 is: 9,614.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,200.13 : 21,302.93 = 6,408.95 : x
  2. Step 2: Convert to fraction form
    14,200.13/21,302.93 = 6,408.95/x
  3. Step 3: Cross multiply
    14,200.13x = 21,302.93 × 6,408.95
  4. Step 4: Simplify right side
    14,200.13x = 136,529,274.66
  5. Step 5: Solve for x
    x = 136,529,274.66/14,200.13
  6. Step 6: Final answer
    x = 9,614.65

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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.