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Finding the Fourth Proportional to 10,012.10, 14,046.10 and 10,012.10

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Solution

The fourth proportional to 10,012.10, 14,046.10 and 10,012.10 is: 14,046.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,012.10 : 14,046.10 = 10,012.10 : x
  2. Step 2: Convert to fraction form
    10,012.10/14,046.10 = 10,012.10/x
  3. Step 3: Cross multiply
    10,012.10x = 14,046.10 × 10,012.10
  4. Step 4: Simplify right side
    10,012.10x = 140,630,957.81
  5. Step 5: Solve for x
    x = 140,630,957.81/10,012.10
  6. Step 6: Final answer
    x = 14,046.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.