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Finding the Fourth Proportional to 16,412.40, 24,602.67 and 13,072.50

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Solution

The fourth proportional to 16,412.40, 24,602.67 and 13,072.50 is: 19,596.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,412.40 : 24,602.67 = 13,072.50 : x
  2. Step 2: Convert to fraction form
    16,412.40/24,602.67 = 13,072.50/x
  3. Step 3: Cross multiply
    16,412.40x = 24,602.67 × 13,072.50
  4. Step 4: Simplify right side
    16,412.40x = 321,618,403.58
  5. Step 5: Solve for x
    x = 321,618,403.58/16,412.40
  6. Step 6: Final answer
    x = 19,596.06

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Why These Related Problems?

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