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Finding the Fourth Proportional to 13,258.54, 19,893.08 and 5,465.53

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Solution

The fourth proportional to 13,258.54, 19,893.08 and 5,465.53 is: 8,200.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.54 : 19,893.08 = 5,465.53 : x
  2. Step 2: Convert to fraction form
    13,258.54/19,893.08 = 5,465.53/x
  3. Step 3: Cross multiply
    13,258.54x = 19,893.08 × 5,465.53
  4. Step 4: Simplify right side
    13,258.54x = 108,726,225.53
  5. Step 5: Solve for x
    x = 108,726,225.53/13,258.54
  6. Step 6: Final answer
    x = 8,200.47

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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.