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Finding the Fourth Proportional to 14,461.70, 19,951.26 and 9,424.08

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Solution

The fourth proportional to 14,461.70, 19,951.26 and 9,424.08 is: 13,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,461.70 : 19,951.26 = 9,424.08 : x
  2. Step 2: Convert to fraction form
    14,461.70/19,951.26 = 9,424.08/x
  3. Step 3: Cross multiply
    14,461.70x = 19,951.26 × 9,424.08
  4. Step 4: Simplify right side
    14,461.70x = 188,022,309.82
  5. Step 5: Solve for x
    x = 188,022,309.82/14,461.70
  6. Step 6: Final answer
    x = 13,001.40

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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.