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Finding the Fourth Proportional to 25,745, 35,528.64 and 14,567

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Solution

The fourth proportional to 25,745, 35,528.64 and 14,567 is: 20,102.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,745 : 35,528.64 = 14,567 : x
  2. Step 2: Convert to fraction form
    25,745/35,528.64 = 14,567/x
  3. Step 3: Cross multiply
    25,745x = 35,528.64 × 14,567
  4. Step 4: Simplify right side
    25,745x = 517,545,698.88
  5. Step 5: Solve for x
    x = 517,545,698.88/25,745
  6. Step 6: Final answer
    x = 20,102.77

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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.