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Finding the Fourth Proportional to 19,672.68, 29,507.52 and 9,809.28

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Solution

The fourth proportional to 19,672.68, 29,507.52 and 9,809.28 is: 14,713.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.68 : 29,507.52 = 9,809.28 : x
  2. Step 2: Convert to fraction form
    19,672.68/29,507.52 = 9,809.28/x
  3. Step 3: Cross multiply
    19,672.68x = 29,507.52 × 9,809.28
  4. Step 4: Simplify right side
    19,672.68x = 289,447,525.79
  5. Step 5: Solve for x
    x = 289,447,525.79/19,672.68
  6. Step 6: Final answer
    x = 14,713.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.