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Finding the Fourth Proportional to 14,005.63, 21,008.17 and 3,475.68

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Solution

The fourth proportional to 14,005.63, 21,008.17 and 3,475.68 is: 5,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.63 : 21,008.17 = 3,475.68 : x
  2. Step 2: Convert to fraction form
    14,005.63/21,008.17 = 3,475.68/x
  3. Step 3: Cross multiply
    14,005.63x = 21,008.17 × 3,475.68
  4. Step 4: Simplify right side
    14,005.63x = 73,017,676.31
  5. Step 5: Solve for x
    x = 73,017,676.31/14,005.63
  6. Step 6: Final answer
    x = 5,213.45

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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.