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Finding the Fourth Proportional to 23,008, 31,738.08 and 15,048.40

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Solution

The fourth proportional to 23,008, 31,738.08 and 15,048.40 is: 20,758.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,008 : 31,738.08 = 15,048.40 : x
  2. Step 2: Convert to fraction form
    23,008/31,738.08 = 15,048.40/x
  3. Step 3: Cross multiply
    23,008x = 31,738.08 × 15,048.40
  4. Step 4: Simplify right side
    23,008x = 477,607,323.07
  5. Step 5: Solve for x
    x = 477,607,323.07/23,008
  6. Step 6: Final answer
    x = 20,758.32

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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.