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Finding the Fourth Proportional to 14,431.98, 19,908.54 and 9,124.86

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Solution

The fourth proportional to 14,431.98, 19,908.54 and 9,124.86 is: 12,587.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,431.98 : 19,908.54 = 9,124.86 : x
  2. Step 2: Convert to fraction form
    14,431.98/19,908.54 = 9,124.86/x
  3. Step 3: Cross multiply
    14,431.98x = 19,908.54 × 9,124.86
  4. Step 4: Simplify right side
    14,431.98x = 181,662,640.30
  5. Step 5: Solve for x
    x = 181,662,640.30/14,431.98
  6. Step 6: Final answer
    x = 12,587.51

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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.