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Finding the Fourth Proportional to 24,954, 34,436.76 and 13,776.24

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Solution

The fourth proportional to 24,954, 34,436.76 and 13,776.24 is: 19,011.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,954 : 34,436.76 = 13,776.24 : x
  2. Step 2: Convert to fraction form
    24,954/34,436.76 = 13,776.24/x
  3. Step 3: Cross multiply
    24,954x = 34,436.76 × 13,776.24
  4. Step 4: Simplify right side
    24,954x = 474,409,070.58
  5. Step 5: Solve for x
    x = 474,409,070.58/24,954
  6. Step 6: Final answer
    x = 19,011.34

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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.