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Finding the Fourth Proportional to 24,393, 33,663.78 and 13,782.36

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Solution

The fourth proportional to 24,393, 33,663.78 and 13,782.36 is: 19,020.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,393 : 33,663.78 = 13,782.36 : x
  2. Step 2: Convert to fraction form
    24,393/33,663.78 = 13,782.36/x
  3. Step 3: Cross multiply
    24,393x = 33,663.78 × 13,782.36
  4. Step 4: Simplify right side
    24,393x = 463,966,334.92
  5. Step 5: Solve for x
    x = 463,966,334.92/24,393
  6. Step 6: Final answer
    x = 19,020.47

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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.