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Finding the Fourth Proportional to 21,574.08, 29,770.34 and 12,013.25

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Solution

The fourth proportional to 21,574.08, 29,770.34 and 12,013.25 is: 16,577.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.08 : 29,770.34 = 12,013.25 : x
  2. Step 2: Convert to fraction form
    21,574.08/29,770.34 = 12,013.25/x
  3. Step 3: Cross multiply
    21,574.08x = 29,770.34 × 12,013.25
  4. Step 4: Simplify right side
    21,574.08x = 357,638,328.09
  5. Step 5: Solve for x
    x = 357,638,328.09/21,574.08
  6. Step 6: Final answer
    x = 16,577.22

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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.