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Finding the Fourth Proportional to 17,604, 24,293.52 and 10,152

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Solution

The fourth proportional to 17,604, 24,293.52 and 10,152 is: 14,009.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,604 : 24,293.52 = 10,152 : x
  2. Step 2: Convert to fraction form
    17,604/24,293.52 = 10,152/x
  3. Step 3: Cross multiply
    17,604x = 24,293.52 × 10,152
  4. Step 4: Simplify right side
    17,604x = 246,627,815.04
  5. Step 5: Solve for x
    x = 246,627,815.04/17,604
  6. Step 6: Final answer
    x = 14,009.76

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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.