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Finding the Fourth Proportional to 23,258.54, 32,097.46 and 14,311.28

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Solution

The fourth proportional to 23,258.54, 32,097.46 and 14,311.28 is: 19,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.54 : 32,097.46 = 14,311.28 : x
  2. Step 2: Convert to fraction form
    23,258.54/32,097.46 = 14,311.28/x
  3. Step 3: Cross multiply
    23,258.54x = 32,097.46 × 14,311.28
  4. Step 4: Simplify right side
    23,258.54x = 459,355,737.35
  5. Step 5: Solve for x
    x = 459,355,737.35/23,258.54
  6. Step 6: Final answer
    x = 19,749.98

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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.