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Finding the Fourth Proportional to 14,258.56, 19,676 and 7,884.78

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Solution

The fourth proportional to 14,258.56, 19,676 and 7,884.78 is: 10,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,258.56 : 19,676 = 7,884.78 : x
  2. Step 2: Convert to fraction form
    14,258.56/19,676 = 7,884.78/x
  3. Step 3: Cross multiply
    14,258.56x = 19,676 × 7,884.78
  4. Step 4: Simplify right side
    14,258.56x = 155,140,931.28
  5. Step 5: Solve for x
    x = 155,140,931.28/14,258.56
  6. Step 6: Final answer
    x = 10,880.55

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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.