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Finding the Fourth Proportional to 25,823, 35,637.90 and 14,647.16

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Solution

The fourth proportional to 25,823, 35,637.90 and 14,647.16 is: 20,214.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,823 : 35,637.90 = 14,647.16 : x
  2. Step 2: Convert to fraction form
    25,823/35,637.90 = 14,647.16/x
  3. Step 3: Cross multiply
    25,823x = 35,637.90 × 14,647.16
  4. Step 4: Simplify right side
    25,823x = 521,994,023.36
  5. Step 5: Solve for x
    x = 521,994,023.36/25,823
  6. Step 6: Final answer
    x = 20,214.31

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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.