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Finding the Fourth Proportional to 14,037.90, 19,372.34 and 7,664.50

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Solution

The fourth proportional to 14,037.90, 19,372.34 and 7,664.50 is: 10,577.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,037.90 : 19,372.34 = 7,664.50 : x
  2. Step 2: Convert to fraction form
    14,037.90/19,372.34 = 7,664.50/x
  3. Step 3: Cross multiply
    14,037.90x = 19,372.34 × 7,664.50
  4. Step 4: Simplify right side
    14,037.90x = 148,479,343.31
  5. Step 5: Solve for x
    x = 148,479,343.31/14,037.90
  6. Step 6: Final answer
    x = 10,577.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.