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Finding the Fourth Proportional to 15,833.48, 23,741.43 and 6,480.06

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Solution

The fourth proportional to 15,833.48, 23,741.43 and 6,480.06 is: 9,716.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,833.48 : 23,741.43 = 6,480.06 : x
  2. Step 2: Convert to fraction form
    15,833.48/23,741.43 = 6,480.06/x
  3. Step 3: Cross multiply
    15,833.48x = 23,741.43 × 6,480.06
  4. Step 4: Simplify right side
    15,833.48x = 153,845,890.89
  5. Step 5: Solve for x
    x = 153,845,890.89/15,833.48
  6. Step 6: Final answer
    x = 9,716.50

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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.