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Finding the Fourth Proportional to 23,258.95, 32,098.02 and 14,311.69

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Solution

The fourth proportional to 23,258.95, 32,098.02 and 14,311.69 is: 19,750.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,258.95 : 32,098.02 = 14,311.69 : x
  2. Step 2: Convert to fraction form
    23,258.95/32,098.02 = 14,311.69/x
  3. Step 3: Cross multiply
    23,258.95x = 32,098.02 × 14,311.69
  4. Step 4: Simplify right side
    23,258.95x = 459,376,911.85
  5. Step 5: Solve for x
    x = 459,376,911.85/23,258.95
  6. Step 6: Final answer
    x = 19,750.54

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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.