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Finding the Fourth Proportional to 14,038.67, 19,372.52 and 7,664.00

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Solution

The fourth proportional to 14,038.67, 19,372.52 and 7,664.00 is: 10,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.67 : 19,372.52 = 7,664.00 : x
  2. Step 2: Convert to fraction form
    14,038.67/19,372.52 = 7,664.00/x
  3. Step 3: Cross multiply
    14,038.67x = 19,372.52 × 7,664.00
  4. Step 4: Simplify right side
    14,038.67x = 148,470,858.10
  5. Step 5: Solve for x
    x = 148,470,858.10/14,038.67
  6. Step 6: Final answer
    x = 10,575.85

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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.