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Finding the Fourth Proportional to 23,703.78, 32,683.05 and 15,733.38

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Solution

The fourth proportional to 23,703.78, 32,683.05 and 15,733.38 is: 21,693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,703.78 : 32,683.05 = 15,733.38 : x
  2. Step 2: Convert to fraction form
    23,703.78/32,683.05 = 15,733.38/x
  3. Step 3: Cross multiply
    23,703.78x = 32,683.05 × 15,733.38
  4. Step 4: Simplify right side
    23,703.78x = 514,214,845.21
  5. Step 5: Solve for x
    x = 514,214,845.21/23,703.78
  6. Step 6: Final answer
    x = 21,693.37

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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.