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Finding the Fourth Proportional to 21,574.98, 29,782.68 and 14,505.50

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Solution

The fourth proportional to 21,574.98, 29,782.68 and 14,505.50 is: 20,023.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,574.98 : 29,782.68 = 14,505.50 : x
  2. Step 2: Convert to fraction form
    21,574.98/29,782.68 = 14,505.50/x
  3. Step 3: Cross multiply
    21,574.98x = 29,782.68 × 14,505.50
  4. Step 4: Simplify right side
    21,574.98x = 432,012,664.74
  5. Step 5: Solve for x
    x = 432,012,664.74/21,574.98
  6. Step 6: Final answer
    x = 20,023.79

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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.