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Finding the Fourth Proportional to 21,427.70, 29,566.70 and 13,464.28

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Solution

The fourth proportional to 21,427.70, 29,566.70 and 13,464.28 is: 18,578.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,427.70 : 29,566.70 = 13,464.28 : x
  2. Step 2: Convert to fraction form
    21,427.70/29,566.70 = 13,464.28/x
  3. Step 3: Cross multiply
    21,427.70x = 29,566.70 × 13,464.28
  4. Step 4: Simplify right side
    21,427.70x = 398,094,423.34
  5. Step 5: Solve for x
    x = 398,094,423.34/21,427.70
  6. Step 6: Final answer
    x = 18,578.50

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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.