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Finding the Fourth Proportional to 12,332.25, 18,499.29 and 4,011.63

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Solution

The fourth proportional to 12,332.25, 18,499.29 and 4,011.63 is: 6,017.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.25 : 18,499.29 = 4,011.63 : x
  2. Step 2: Convert to fraction form
    12,332.25/18,499.29 = 4,011.63/x
  3. Step 3: Cross multiply
    12,332.25x = 18,499.29 × 4,011.63
  4. Step 4: Simplify right side
    12,332.25x = 74,212,222.33
  5. Step 5: Solve for x
    x = 74,212,222.33/12,332.25
  6. Step 6: Final answer
    x = 6,017.74

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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.