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Finding the Fourth Proportional to 25,634.16, 35,373.24 and 14,454

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Solution

The fourth proportional to 25,634.16, 35,373.24 and 14,454 is: 19,945.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,634.16 : 35,373.24 = 14,454 : x
  2. Step 2: Convert to fraction form
    25,634.16/35,373.24 = 14,454/x
  3. Step 3: Cross multiply
    25,634.16x = 35,373.24 × 14,454
  4. Step 4: Simplify right side
    25,634.16x = 511,284,810.96
  5. Step 5: Solve for x
    x = 511,284,810.96/25,634.16
  6. Step 6: Final answer
    x = 19,945.45

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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.