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Finding the Fourth Proportional to 14,832.96, 22,260.32 and 7,435.36

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Solution

The fourth proportional to 14,832.96, 22,260.32 and 7,435.36 is: 11,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,832.96 : 22,260.32 = 7,435.36 : x
  2. Step 2: Convert to fraction form
    14,832.96/22,260.32 = 7,435.36/x
  3. Step 3: Cross multiply
    14,832.96x = 22,260.32 × 7,435.36
  4. Step 4: Simplify right side
    14,832.96x = 165,513,492.92
  5. Step 5: Solve for x
    x = 165,513,492.92/14,832.96
  6. Step 6: Final answer
    x = 11,158.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.