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Finding the Fourth Proportional to 14,271.40, 21,407.10 and 9,605.80

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Solution

The fourth proportional to 14,271.40, 21,407.10 and 9,605.80 is: 14,408.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,271.40 : 21,407.10 = 9,605.80 : x
  2. Step 2: Convert to fraction form
    14,271.40/21,407.10 = 9,605.80/x
  3. Step 3: Cross multiply
    14,271.40x = 21,407.10 × 9,605.80
  4. Step 4: Simplify right side
    14,271.40x = 205,632,321.18
  5. Step 5: Solve for x
    x = 205,632,321.18/14,271.40
  6. Step 6: Final answer
    x = 14,408.70

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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.