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Finding the Fourth Proportional to 25,438, 35,104.92 and 14,828.26

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Solution

The fourth proportional to 25,438, 35,104.92 and 14,828.26 is: 20,463.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,438 : 35,104.92 = 14,828.26 : x
  2. Step 2: Convert to fraction form
    25,438/35,104.92 = 14,828.26/x
  3. Step 3: Cross multiply
    25,438x = 35,104.92 × 14,828.26
  4. Step 4: Simplify right side
    25,438x = 520,544,881.04
  5. Step 5: Solve for x
    x = 520,544,881.04/25,438
  6. Step 6: Final answer
    x = 20,463.28

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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.