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Finding the Fourth Proportional to 26,102, 36,020.76 and 14,924.24

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Solution

The fourth proportional to 26,102, 36,020.76 and 14,924.24 is: 20,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,102 : 36,020.76 = 14,924.24 : x
  2. Step 2: Convert to fraction form
    26,102/36,020.76 = 14,924.24/x
  3. Step 3: Cross multiply
    26,102x = 36,020.76 × 14,924.24
  4. Step 4: Simplify right side
    26,102x = 537,582,467.22
  5. Step 5: Solve for x
    x = 537,582,467.22/26,102
  6. Step 6: Final answer
    x = 20,595.45

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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.