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Finding the Fourth Proportional to 16,232.70, 24,349.05 and 10,692.30

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Solution

The fourth proportional to 16,232.70, 24,349.05 and 10,692.30 is: 16,038.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,232.70 : 24,349.05 = 10,692.30 : x
  2. Step 2: Convert to fraction form
    16,232.70/24,349.05 = 10,692.30/x
  3. Step 3: Cross multiply
    16,232.70x = 24,349.05 × 10,692.30
  4. Step 4: Simplify right side
    16,232.70x = 260,347,347.32
  5. Step 5: Solve for x
    x = 260,347,347.32/16,232.70
  6. Step 6: Final answer
    x = 16,038.45

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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.