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Finding the Fourth Proportional to 24,509.76, 33,824.43 and 13,901.46

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Solution

The fourth proportional to 24,509.76, 33,824.43 and 13,901.46 is: 19,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,509.76 : 33,824.43 = 13,901.46 : x
  2. Step 2: Convert to fraction form
    24,509.76/33,824.43 = 13,901.46/x
  3. Step 3: Cross multiply
    24,509.76x = 33,824.43 × 13,901.46
  4. Step 4: Simplify right side
    24,509.76x = 470,208,960.67
  5. Step 5: Solve for x
    x = 470,208,960.67/24,509.76
  6. Step 6: Final answer
    x = 19,184.56

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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.