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Finding the Fourth Proportional to 25,435.67, 35,097.93 and 14,105.07

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Solution

The fourth proportional to 25,435.67, 35,097.93 and 14,105.07 is: 19,463.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,435.67 : 35,097.93 = 14,105.07 : x
  2. Step 2: Convert to fraction form
    25,435.67/35,097.93 = 14,105.07/x
  3. Step 3: Cross multiply
    25,435.67x = 35,097.93 × 14,105.07
  4. Step 4: Simplify right side
    25,435.67x = 495,058,759.51
  5. Step 5: Solve for x
    x = 495,058,759.51/25,435.67
  6. Step 6: Final answer
    x = 19,463.17

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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.