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Finding the Fourth Proportional to 14,257.91, 19,675.58 and 7,884.34

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Solution

The fourth proportional to 14,257.91, 19,675.58 and 7,884.34 is: 10,880.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.91 : 19,675.58 = 7,884.34 : x
  2. Step 2: Convert to fraction form
    14,257.91/19,675.58 = 7,884.34/x
  3. Step 3: Cross multiply
    14,257.91x = 19,675.58 × 7,884.34
  4. Step 4: Simplify right side
    14,257.91x = 155,128,873.81
  5. Step 5: Solve for x
    x = 155,128,873.81/14,257.91
  6. Step 6: Final answer
    x = 10,880.20

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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.