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Finding the Fourth Proportional to 23,825.95, 32,886.26 and 14,868.16

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Solution

The fourth proportional to 23,825.95, 32,886.26 and 14,868.16 is: 20,522.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.95 : 32,886.26 = 14,868.16 : x
  2. Step 2: Convert to fraction form
    23,825.95/32,886.26 = 14,868.16/x
  3. Step 3: Cross multiply
    23,825.95x = 32,886.26 × 14,868.16
  4. Step 4: Simplify right side
    23,825.95x = 488,958,281.64
  5. Step 5: Solve for x
    x = 488,958,281.64/23,825.95
  6. Step 6: Final answer
    x = 20,522.09

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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.