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Finding the Fourth Proportional to 10,675.02, 16,012.62 and 9,871.50

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Solution

The fourth proportional to 10,675.02, 16,012.62 and 9,871.50 is: 14,807.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.02 : 16,012.62 = 9,871.50 : x
  2. Step 2: Convert to fraction form
    10,675.02/16,012.62 = 9,871.50/x
  3. Step 3: Cross multiply
    10,675.02x = 16,012.62 × 9,871.50
  4. Step 4: Simplify right side
    10,675.02x = 158,068,578.33
  5. Step 5: Solve for x
    x = 158,068,578.33/10,675.02
  6. Step 6: Final answer
    x = 14,807.33

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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.