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Finding the Fourth Proportional to 23,103.64, 31,881.90 and 13,032.16

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Solution

The fourth proportional to 23,103.64, 31,881.90 and 13,032.16 is: 17,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,103.64 : 31,881.90 = 13,032.16 : x
  2. Step 2: Convert to fraction form
    23,103.64/31,881.90 = 13,032.16/x
  3. Step 3: Cross multiply
    23,103.64x = 31,881.90 × 13,032.16
  4. Step 4: Simplify right side
    23,103.64x = 415,490,021.90
  5. Step 5: Solve for x
    x = 415,490,021.90/23,103.64
  6. Step 6: Final answer
    x = 17,983.75

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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.