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Finding the Fourth Proportional to 14,157, 19,623.74 and 13,921.74

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Solution

The fourth proportional to 14,157, 19,623.74 and 13,921.74 is: 19,297.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,157 : 19,623.74 = 13,921.74 : x
  2. Step 2: Convert to fraction form
    14,157/19,623.74 = 13,921.74/x
  3. Step 3: Cross multiply
    14,157x = 19,623.74 × 13,921.74
  4. Step 4: Simplify right side
    14,157x = 273,196,536.50
  5. Step 5: Solve for x
    x = 273,196,536.50/14,157
  6. Step 6: Final answer
    x = 19,297.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.