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Finding the Fourth Proportional to 21,464.50, 29,619.36 and 12,031.24

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Solution

The fourth proportional to 21,464.50, 29,619.36 and 12,031.24 is: 16,602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,464.50 : 29,619.36 = 12,031.24 : x
  2. Step 2: Convert to fraction form
    21,464.50/29,619.36 = 12,031.24/x
  3. Step 3: Cross multiply
    21,464.50x = 29,619.36 × 12,031.24
  4. Step 4: Simplify right side
    21,464.50x = 356,357,628.81
  5. Step 5: Solve for x
    x = 356,357,628.81/21,464.50
  6. Step 6: Final answer
    x = 16,602.19

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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.