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Finding the Fourth Proportional to 16,339.48, 22,544.54 and 10,369

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Solution

The fourth proportional to 16,339.48, 22,544.54 and 10,369 is: 14,306.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,339.48 : 22,544.54 = 10,369 : x
  2. Step 2: Convert to fraction form
    16,339.48/22,544.54 = 10,369/x
  3. Step 3: Cross multiply
    16,339.48x = 22,544.54 × 10,369
  4. Step 4: Simplify right side
    16,339.48x = 233,764,335.26
  5. Step 5: Solve for x
    x = 233,764,335.26/16,339.48
  6. Step 6: Final answer
    x = 14,306.72

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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.