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Finding the Fourth Proportional to 24,485.78, 33,790.38 and 13,307.78

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Solution

The fourth proportional to 24,485.78, 33,790.38 and 13,307.78 is: 18,364.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,485.78 : 33,790.38 = 13,307.78 : x
  2. Step 2: Convert to fraction form
    24,485.78/33,790.38 = 13,307.78/x
  3. Step 3: Cross multiply
    24,485.78x = 33,790.38 × 13,307.78
  4. Step 4: Simplify right side
    24,485.78x = 449,674,943.16
  5. Step 5: Solve for x
    x = 449,674,943.16/24,485.78
  6. Step 6: Final answer
    x = 18,364.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.