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Finding the Fourth Proportional to 17,677.44, 24,392.16 and 10,224

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Solution

The fourth proportional to 17,677.44, 24,392.16 and 10,224 is: 14,107.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,677.44 : 24,392.16 = 10,224 : x
  2. Step 2: Convert to fraction form
    17,677.44/24,392.16 = 10,224/x
  3. Step 3: Cross multiply
    17,677.44x = 24,392.16 × 10,224
  4. Step 4: Simplify right side
    17,677.44x = 249,385,443.84
  5. Step 5: Solve for x
    x = 249,385,443.84/17,677.44
  6. Step 6: Final answer
    x = 14,107.55

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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.