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Finding the Fourth Proportional to 25,270.95, 34,880.85 and 14,664

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Solution

The fourth proportional to 25,270.95, 34,880.85 and 14,664 is: 20,240.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,270.95 : 34,880.85 = 14,664 : x
  2. Step 2: Convert to fraction form
    25,270.95/34,880.85 = 14,664/x
  3. Step 3: Cross multiply
    25,270.95x = 34,880.85 × 14,664
  4. Step 4: Simplify right side
    25,270.95x = 511,492,784.40
  5. Step 5: Solve for x
    x = 511,492,784.40/25,270.95
  6. Step 6: Final answer
    x = 20,240.35

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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.