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Finding the Fourth Proportional to 29,687.64, 40,969.44 and 16,258.74

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Solution

The fourth proportional to 29,687.64, 40,969.44 and 16,258.74 is: 22,437.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,687.64 : 40,969.44 = 16,258.74 : x
  2. Step 2: Convert to fraction form
    29,687.64/40,969.44 = 16,258.74/x
  3. Step 3: Cross multiply
    29,687.64x = 40,969.44 × 16,258.74
  4. Step 4: Simplify right side
    29,687.64x = 666,111,472.91
  5. Step 5: Solve for x
    x = 666,111,472.91/29,687.64
  6. Step 6: Final answer
    x = 22,437.33

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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.