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Finding the Fourth Proportional to 17,577.19, 24,256.52 and 9,619.41

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Solution

The fourth proportional to 17,577.19, 24,256.52 and 9,619.41 is: 13,274.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,577.19 : 24,256.52 = 9,619.41 : x
  2. Step 2: Convert to fraction form
    17,577.19/24,256.52 = 9,619.41/x
  3. Step 3: Cross multiply
    17,577.19x = 24,256.52 × 9,619.41
  4. Step 4: Simplify right side
    17,577.19x = 233,333,411.05
  5. Step 5: Solve for x
    x = 233,333,411.05/17,577.19
  6. Step 6: Final answer
    x = 13,274.78

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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.