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Finding the Fourth Proportional to 14,364.39, 19,824.71 and 8,077.98

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Solution

The fourth proportional to 14,364.39, 19,824.71 and 8,077.98 is: 11,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,364.39 : 19,824.71 = 8,077.98 : x
  2. Step 2: Convert to fraction form
    14,364.39/19,824.71 = 8,077.98/x
  3. Step 3: Cross multiply
    14,364.39x = 19,824.71 × 8,077.98
  4. Step 4: Simplify right side
    14,364.39x = 160,143,610.89
  5. Step 5: Solve for x
    x = 160,143,610.89/14,364.39
  6. Step 6: Final answer
    x = 11,148.65

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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.