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Finding the Fourth Proportional to 14,178.17, 19,533.12 and 10,192.39

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Solution

The fourth proportional to 14,178.17, 19,533.12 and 10,192.39 is: 14,041.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,178.17 : 19,533.12 = 10,192.39 : x
  2. Step 2: Convert to fraction form
    14,178.17/19,533.12 = 10,192.39/x
  3. Step 3: Cross multiply
    14,178.17x = 19,533.12 × 10,192.39
  4. Step 4: Simplify right side
    14,178.17x = 199,089,176.96
  5. Step 5: Solve for x
    x = 199,089,176.96/14,178.17
  6. Step 6: Final answer
    x = 14,041.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.