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Finding the Fourth Proportional to 12,737.16, 19,078.70 and 10,258.60

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Solution

The fourth proportional to 12,737.16, 19,078.70 and 10,258.60 is: 15,366.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,737.16 : 19,078.70 = 10,258.60 : x
  2. Step 2: Convert to fraction form
    12,737.16/19,078.70 = 10,258.60/x
  3. Step 3: Cross multiply
    12,737.16x = 19,078.70 × 10,258.60
  4. Step 4: Simplify right side
    12,737.16x = 195,720,751.82
  5. Step 5: Solve for x
    x = 195,720,751.82/12,737.16
  6. Step 6: Final answer
    x = 15,366.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.