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Finding the Fourth Proportional to 14,258.72, 19,675.30 and 7,884.87

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Solution

The fourth proportional to 14,258.72, 19,675.30 and 7,884.87 is: 10,880.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.72 : 19,675.30 = 7,884.87 : x
  2. Step 2: Convert to fraction form
    14,258.72/19,675.30 = 7,884.87/x
  3. Step 3: Cross multiply
    14,258.72x = 19,675.30 × 7,884.87
  4. Step 4: Simplify right side
    14,258.72x = 155,137,143.29
  5. Step 5: Solve for x
    x = 155,137,143.29/14,258.72
  6. Step 6: Final answer
    x = 10,880.16

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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.