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Finding the Fourth Proportional to 14,303.14, 21,409.83 and 9,834.73

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Solution

The fourth proportional to 14,303.14, 21,409.83 and 9,834.73 is: 14,721.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,303.14 : 21,409.83 = 9,834.73 : x
  2. Step 2: Convert to fraction form
    14,303.14/21,409.83 = 9,834.73/x
  3. Step 3: Cross multiply
    14,303.14x = 21,409.83 × 9,834.73
  4. Step 4: Simplify right side
    14,303.14x = 210,559,897.40
  5. Step 5: Solve for x
    x = 210,559,897.40/14,303.14
  6. Step 6: Final answer
    x = 14,721.24

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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.