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Finding the Fourth Proportional to 17,829.84, 24,602.22 and 11,457.84

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Solution

The fourth proportional to 17,829.84, 24,602.22 and 11,457.84 is: 15,809.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,829.84 : 24,602.22 = 11,457.84 : x
  2. Step 2: Convert to fraction form
    17,829.84/24,602.22 = 11,457.84/x
  3. Step 3: Cross multiply
    17,829.84x = 24,602.22 × 11,457.84
  4. Step 4: Simplify right side
    17,829.84x = 281,888,300.40
  5. Step 5: Solve for x
    x = 281,888,300.40/17,829.84
  6. Step 6: Final answer
    x = 15,809.92

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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.