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Finding the Fourth Proportional to 23,164, 31,969.75 and 14,666.91

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Solution

The fourth proportional to 23,164, 31,969.75 and 14,666.91 is: 20,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,164 : 31,969.75 = 14,666.91 : x
  2. Step 2: Convert to fraction form
    23,164/31,969.75 = 14,666.91/x
  3. Step 3: Cross multiply
    23,164x = 31,969.75 × 14,666.91
  4. Step 4: Simplify right side
    23,164x = 468,897,562.56
  5. Step 5: Solve for x
    x = 468,897,562.56/23,164
  6. Step 6: Final answer
    x = 20,242.51

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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.