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Finding the Fourth Proportional to 22,457.64, 30,994.20 and 13,026.54

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Solution

The fourth proportional to 22,457.64, 30,994.20 and 13,026.54 is: 17,978.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,457.64 : 30,994.20 = 13,026.54 : x
  2. Step 2: Convert to fraction form
    22,457.64/30,994.20 = 13,026.54/x
  3. Step 3: Cross multiply
    22,457.64x = 30,994.20 × 13,026.54
  4. Step 4: Simplify right side
    22,457.64x = 403,747,186.07
  5. Step 5: Solve for x
    x = 403,747,186.07/22,457.64
  6. Step 6: Final answer
    x = 17,978.17

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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.