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Finding the Fourth Proportional to 24,362.16, 33,619.79 and 13,184.16

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Solution

The fourth proportional to 24,362.16, 33,619.79 and 13,184.16 is: 18,194.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,362.16 : 33,619.79 = 13,184.16 : x
  2. Step 2: Convert to fraction form
    24,362.16/33,619.79 = 13,184.16/x
  3. Step 3: Cross multiply
    24,362.16x = 33,619.79 × 13,184.16
  4. Step 4: Simplify right side
    24,362.16x = 443,248,597.41
  5. Step 5: Solve for x
    x = 443,248,597.41/24,362.16
  6. Step 6: Final answer
    x = 18,194.14

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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.