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Finding the Fourth Proportional to 14,103.46, 19,462.74 and 7,815.88

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Solution

The fourth proportional to 14,103.46, 19,462.74 and 7,815.88 is: 10,785.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,103.46 : 19,462.74 = 7,815.88 : x
  2. Step 2: Convert to fraction form
    14,103.46/19,462.74 = 7,815.88/x
  3. Step 3: Cross multiply
    14,103.46x = 19,462.74 × 7,815.88
  4. Step 4: Simplify right side
    14,103.46x = 152,118,440.31
  5. Step 5: Solve for x
    x = 152,118,440.31/14,103.46
  6. Step 6: Final answer
    x = 10,785.90

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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.