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Finding the Fourth Proportional to 17,684.78, 24,407.07 and 10,133.56

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Solution

The fourth proportional to 17,684.78, 24,407.07 and 10,133.56 is: 13,985.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,684.78 : 24,407.07 = 10,133.56 : x
  2. Step 2: Convert to fraction form
    17,684.78/24,407.07 = 10,133.56/x
  3. Step 3: Cross multiply
    17,684.78x = 24,407.07 × 10,133.56
  4. Step 4: Simplify right side
    17,684.78x = 247,330,420.49
  5. Step 5: Solve for x
    x = 247,330,420.49/17,684.78
  6. Step 6: Final answer
    x = 13,985.50

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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.