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Finding the Fourth Proportional to 24,489.84, 33,795.32 and 13,880.46

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Solution

The fourth proportional to 24,489.84, 33,795.32 and 13,880.46 is: 19,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,489.84 : 33,795.32 = 13,880.46 : x
  2. Step 2: Convert to fraction form
    24,489.84/33,795.32 = 13,880.46/x
  3. Step 3: Cross multiply
    24,489.84x = 33,795.32 × 13,880.46
  4. Step 4: Simplify right side
    24,489.84x = 469,094,518.04
  5. Step 5: Solve for x
    x = 469,094,518.04/24,489.84
  6. Step 6: Final answer
    x = 19,154.66

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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.