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Finding the Fourth Proportional to 26,569, 36,664.53 and 14,632.21

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Solution

The fourth proportional to 26,569, 36,664.53 and 14,632.21 is: 20,192.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,569 : 36,664.53 = 14,632.21 : x
  2. Step 2: Convert to fraction form
    26,569/36,664.53 = 14,632.21/x
  3. Step 3: Cross multiply
    26,569x = 36,664.53 × 14,632.21
  4. Step 4: Simplify right side
    26,569x = 536,483,102.51
  5. Step 5: Solve for x
    x = 536,483,102.51/26,569
  6. Step 6: Final answer
    x = 20,192.07

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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.