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Finding the Fourth Proportional to 14,330.70, 21,484.89 and 6,830.37

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Solution

The fourth proportional to 14,330.70, 21,484.89 and 6,830.37 is: 10,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,330.70 : 21,484.89 = 6,830.37 : x
  2. Step 2: Convert to fraction form
    14,330.70/21,484.89 = 6,830.37/x
  3. Step 3: Cross multiply
    14,330.70x = 21,484.89 × 6,830.37
  4. Step 4: Simplify right side
    14,330.70x = 146,749,748.11
  5. Step 5: Solve for x
    x = 146,749,748.11/14,330.70
  6. Step 6: Final answer
    x = 10,240.24

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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.