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Finding the Fourth Proportional to 38,498.33, 57,756.65 and 12,203.07

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Solution

The fourth proportional to 38,498.33, 57,756.65 and 12,203.07 is: 18,307.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,498.33 : 57,756.65 = 12,203.07 : x
  2. Step 2: Convert to fraction form
    38,498.33/57,756.65 = 12,203.07/x
  3. Step 3: Cross multiply
    38,498.33x = 57,756.65 × 12,203.07
  4. Step 4: Simplify right side
    38,498.33x = 704,808,442.92
  5. Step 5: Solve for x
    x = 704,808,442.92/38,498.33
  6. Step 6: Final answer
    x = 18,307.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.