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Finding the Fourth Proportional to 17,830.36, 24,606.74 and 10,756.63

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Solution

The fourth proportional to 17,830.36, 24,606.74 and 10,756.63 is: 14,844.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.36 : 24,606.74 = 10,756.63 : x
  2. Step 2: Convert to fraction form
    17,830.36/24,606.74 = 10,756.63/x
  3. Step 3: Cross multiply
    17,830.36x = 24,606.74 × 10,756.63
  4. Step 4: Simplify right side
    17,830.36x = 264,685,420.87
  5. Step 5: Solve for x
    x = 264,685,420.87/17,830.36
  6. Step 6: Final answer
    x = 14,844.65

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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.