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Finding the Fourth Proportional to 16,178.58, 24,219 and 14,697.90

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Solution

The fourth proportional to 16,178.58, 24,219 and 14,697.90 is: 22,002.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.58 : 24,219 = 14,697.90 : x
  2. Step 2: Convert to fraction form
    16,178.58/24,219 = 14,697.90/x
  3. Step 3: Cross multiply
    16,178.58x = 24,219 × 14,697.90
  4. Step 4: Simplify right side
    16,178.58x = 355,968,440.10
  5. Step 5: Solve for x
    x = 355,968,440.10/16,178.58
  6. Step 6: Final answer
    x = 22,002.45

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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.