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Finding the Fourth Proportional to 14,232.34, 19,641.41 and 8,265.88

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Solution

The fourth proportional to 14,232.34, 19,641.41 and 8,265.88 is: 11,407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,232.34 : 19,641.41 = 8,265.88 : x
  2. Step 2: Convert to fraction form
    14,232.34/19,641.41 = 8,265.88/x
  3. Step 3: Cross multiply
    14,232.34x = 19,641.41 × 8,265.88
  4. Step 4: Simplify right side
    14,232.34x = 162,353,538.09
  5. Step 5: Solve for x
    x = 162,353,538.09/14,232.34
  6. Step 6: Final answer
    x = 11,407.37

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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.