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Finding the Fourth Proportional to 26,401.64, 36,411 and 16,328.48

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Solution

The fourth proportional to 26,401.64, 36,411 and 16,328.48 is: 22,518.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,401.64 : 36,411 = 16,328.48 : x
  2. Step 2: Convert to fraction form
    26,401.64/36,411 = 16,328.48/x
  3. Step 3: Cross multiply
    26,401.64x = 36,411 × 16,328.48
  4. Step 4: Simplify right side
    26,401.64x = 594,536,285.28
  5. Step 5: Solve for x
    x = 594,536,285.28/26,401.64
  6. Step 6: Final answer
    x = 22,518.91

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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.