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Finding the Fourth Proportional to 14,035.20, 19,368 and 8,992.32

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Solution

The fourth proportional to 14,035.20, 19,368 and 8,992.32 is: 12,409.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,035.20 : 19,368 = 8,992.32 : x
  2. Step 2: Convert to fraction form
    14,035.20/19,368 = 8,992.32/x
  3. Step 3: Cross multiply
    14,035.20x = 19,368 × 8,992.32
  4. Step 4: Simplify right side
    14,035.20x = 174,163,253.76
  5. Step 5: Solve for x
    x = 174,163,253.76/14,035.20
  6. Step 6: Final answer
    x = 12,409.03

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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.