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Finding the Fourth Proportional to 14,005.37, 21,007.80 and 3,475.42

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Solution

The fourth proportional to 14,005.37, 21,007.80 and 3,475.42 is: 5,213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.37 : 21,007.80 = 3,475.42 : x
  2. Step 2: Convert to fraction form
    14,005.37/21,007.80 = 3,475.42/x
  3. Step 3: Cross multiply
    14,005.37x = 21,007.80 × 3,475.42
  4. Step 4: Simplify right side
    14,005.37x = 73,010,875.76
  5. Step 5: Solve for x
    x = 73,010,875.76/14,005.37
  6. Step 6: Final answer
    x = 5,213.06

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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.