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Finding the Fourth Proportional to 25,320, 34,941.60 and 14,142

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Solution

The fourth proportional to 25,320, 34,941.60 and 14,142 is: 19,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,320 : 34,941.60 = 14,142 : x
  2. Step 2: Convert to fraction form
    25,320/34,941.60 = 14,142/x
  3. Step 3: Cross multiply
    25,320x = 34,941.60 × 14,142
  4. Step 4: Simplify right side
    25,320x = 494,144,107.20
  5. Step 5: Solve for x
    x = 494,144,107.20/25,320
  6. Step 6: Final answer
    x = 19,515.96

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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.