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Finding the Fourth Proportional to 12,026.95, 16,586.40 and 10,017.03

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Solution

The fourth proportional to 12,026.95, 16,586.40 and 10,017.03 is: 13,814.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,026.95 : 16,586.40 = 10,017.03 : x
  2. Step 2: Convert to fraction form
    12,026.95/16,586.40 = 10,017.03/x
  3. Step 3: Cross multiply
    12,026.95x = 16,586.40 × 10,017.03
  4. Step 4: Simplify right side
    12,026.95x = 166,146,566.15
  5. Step 5: Solve for x
    x = 166,146,566.15/12,026.95
  6. Step 6: Final answer
    x = 13,814.52

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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.