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Finding the Fourth Proportional to 16,525, 24,771.10 and 9,132.94

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Solution

The fourth proportional to 16,525, 24,771.10 and 9,132.94 is: 13,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525 : 24,771.10 = 9,132.94 : x
  2. Step 2: Convert to fraction form
    16,525/24,771.10 = 9,132.94/x
  3. Step 3: Cross multiply
    16,525x = 24,771.10 × 9,132.94
  4. Step 4: Simplify right side
    16,525x = 226,232,970.03
  5. Step 5: Solve for x
    x = 226,232,970.03/16,525
  6. Step 6: Final answer
    x = 13,690.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.