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Finding the Fourth Proportional to 19,502.64, 26,901 and 11,539.32

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Solution

The fourth proportional to 19,502.64, 26,901 and 11,539.32 is: 15,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,502.64 : 26,901 = 11,539.32 : x
  2. Step 2: Convert to fraction form
    19,502.64/26,901 = 11,539.32/x
  3. Step 3: Cross multiply
    19,502.64x = 26,901 × 11,539.32
  4. Step 4: Simplify right side
    19,502.64x = 310,419,247.32
  5. Step 5: Solve for x
    x = 310,419,247.32/19,502.64
  6. Step 6: Final answer
    x = 15,916.78

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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.