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Finding the Fourth Proportional to 14,038.44, 19,372.74 and 7,664.79

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Solution

The fourth proportional to 14,038.44, 19,372.74 and 7,664.79 is: 10,577.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,038.44 : 19,372.74 = 7,664.79 : x
  2. Step 2: Convert to fraction form
    14,038.44/19,372.74 = 7,664.79/x
  3. Step 3: Cross multiply
    14,038.44x = 19,372.74 × 7,664.79
  4. Step 4: Simplify right side
    14,038.44x = 148,487,983.82
  5. Step 5: Solve for x
    x = 148,487,983.82/14,038.44
  6. Step 6: Final answer
    x = 10,577.24

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Why These Related Problems?

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