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Finding the Fourth Proportional to 14,362.08, 21,543.10 and 7,829.76

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Solution

The fourth proportional to 14,362.08, 21,543.10 and 7,829.76 is: 11,744.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,362.08 : 21,543.10 = 7,829.76 : x
  2. Step 2: Convert to fraction form
    14,362.08/21,543.10 = 7,829.76/x
  3. Step 3: Cross multiply
    14,362.08x = 21,543.10 × 7,829.76
  4. Step 4: Simplify right side
    14,362.08x = 168,677,363.87
  5. Step 5: Solve for x
    x = 168,677,363.87/14,362.08
  6. Step 6: Final answer
    x = 11,744.64

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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.