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Finding the Fourth Proportional to 16,548.36, 24,830.79 and 10,306.80

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Solution

The fourth proportional to 16,548.36, 24,830.79 and 10,306.80 is: 15,465.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,548.36 : 24,830.79 = 10,306.80 : x
  2. Step 2: Convert to fraction form
    16,548.36/24,830.79 = 10,306.80/x
  3. Step 3: Cross multiply
    16,548.36x = 24,830.79 × 10,306.80
  4. Step 4: Simplify right side
    16,548.36x = 255,925,986.37
  5. Step 5: Solve for x
    x = 255,925,986.37/16,548.36
  6. Step 6: Final answer
    x = 15,465.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.