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Finding the Fourth Proportional to 14,458.48, 19,956 and 9,160.54

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Solution

The fourth proportional to 14,458.48, 19,956 and 9,160.54 is: 12,643.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.48 : 19,956 = 9,160.54 : x
  2. Step 2: Convert to fraction form
    14,458.48/19,956 = 9,160.54/x
  3. Step 3: Cross multiply
    14,458.48x = 19,956 × 9,160.54
  4. Step 4: Simplify right side
    14,458.48x = 182,807,736.24
  5. Step 5: Solve for x
    x = 182,807,736.24/14,458.48
  6. Step 6: Final answer
    x = 12,643.63

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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.