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Finding the Fourth Proportional to 15,833.88, 23,751.90 and 5,971.32

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Solution

The fourth proportional to 15,833.88, 23,751.90 and 5,971.32 is: 8,957.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.88 : 23,751.90 = 5,971.32 : x
  2. Step 2: Convert to fraction form
    15,833.88/23,751.90 = 5,971.32/x
  3. Step 3: Cross multiply
    15,833.88x = 23,751.90 × 5,971.32
  4. Step 4: Simplify right side
    15,833.88x = 141,830,195.51
  5. Step 5: Solve for x
    x = 141,830,195.51/15,833.88
  6. Step 6: Final answer
    x = 8,957.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.