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Finding the Fourth Proportional to 14,458.48, 19,958.28 and 12,434

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Solution

The fourth proportional to 14,458.48, 19,958.28 and 12,434 is: 17,163.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,458.48 : 19,958.28 = 12,434 : x
  2. Step 2: Convert to fraction form
    14,458.48/19,958.28 = 12,434/x
  3. Step 3: Cross multiply
    14,458.48x = 19,958.28 × 12,434
  4. Step 4: Simplify right side
    14,458.48x = 248,161,253.52
  5. Step 5: Solve for x
    x = 248,161,253.52/14,458.48
  6. Step 6: Final answer
    x = 17,163.72

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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.