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Finding the Fourth Proportional to 23,509.64, 32,440.90 and 14,077.96

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Solution

The fourth proportional to 23,509.64, 32,440.90 and 14,077.96 is: 19,426.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,509.64 : 32,440.90 = 14,077.96 : x
  2. Step 2: Convert to fraction form
    23,509.64/32,440.90 = 14,077.96/x
  3. Step 3: Cross multiply
    23,509.64x = 32,440.90 × 14,077.96
  4. Step 4: Simplify right side
    23,509.64x = 456,701,692.56
  5. Step 5: Solve for x
    x = 456,701,692.56/23,509.64
  6. Step 6: Final answer
    x = 19,426.15

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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.