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Finding the Fourth Proportional to 14,768.16, 20,400 and 11,804.76

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Solution

The fourth proportional to 14,768.16, 20,400 and 11,804.76 is: 16,306.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,768.16 : 20,400 = 11,804.76 : x
  2. Step 2: Convert to fraction form
    14,768.16/20,400 = 11,804.76/x
  3. Step 3: Cross multiply
    14,768.16x = 20,400 × 11,804.76
  4. Step 4: Simplify right side
    14,768.16x = 240,817,104
  5. Step 5: Solve for x
    x = 240,817,104/14,768.16
  6. Step 6: Final answer
    x = 16,306.51

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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.