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Finding the Fourth Proportional to 19,782.65, 27,299.97 and 10,707.99

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Solution

The fourth proportional to 19,782.65, 27,299.97 and 10,707.99 is: 14,776.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.65 : 27,299.97 = 10,707.99 : x
  2. Step 2: Convert to fraction form
    19,782.65/27,299.97 = 10,707.99/x
  3. Step 3: Cross multiply
    19,782.65x = 27,299.97 × 10,707.99
  4. Step 4: Simplify right side
    19,782.65x = 292,327,805.76
  5. Step 5: Solve for x
    x = 292,327,805.76/19,782.65
  6. Step 6: Final answer
    x = 14,776.98

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1.5x scale

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.