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Finding the Fourth Proportional to 14,078.34, 19,423.17 and 8,768.76

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Solution

The fourth proportional to 14,078.34, 19,423.17 and 8,768.76 is: 12,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,078.34 : 19,423.17 = 8,768.76 : x
  2. Step 2: Convert to fraction form
    14,078.34/19,423.17 = 8,768.76/x
  3. Step 3: Cross multiply
    14,078.34x = 19,423.17 × 8,768.76
  4. Step 4: Simplify right side
    14,078.34x = 170,317,116.17
  5. Step 5: Solve for x
    x = 170,317,116.17/14,078.34
  6. Step 6: Final answer
    x = 12,097.81

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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.