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Finding the Fourth Proportional to 12,225.69, 18,338.54 and 4,334

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Solution

The fourth proportional to 12,225.69, 18,338.54 and 4,334 is: 6,501.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.69 : 18,338.54 = 4,334 : x
  2. Step 2: Convert to fraction form
    12,225.69/18,338.54 = 4,334/x
  3. Step 3: Cross multiply
    12,225.69x = 18,338.54 × 4,334
  4. Step 4: Simplify right side
    12,225.69x = 79,479,232.36
  5. Step 5: Solve for x
    x = 79,479,232.36/12,225.69
  6. Step 6: Final answer
    x = 6,501.00

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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.