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Finding the Fourth Proportional to 24,954.32, 34,437.08 and 13,776.32

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Solution

The fourth proportional to 24,954.32, 34,437.08 and 13,776.32 is: 19,011.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,954.32 : 34,437.08 = 13,776.32 : x
  2. Step 2: Convert to fraction form
    24,954.32/34,437.08 = 13,776.32/x
  3. Step 3: Cross multiply
    24,954.32x = 34,437.08 × 13,776.32
  4. Step 4: Simplify right side
    24,954.32x = 474,416,233.95
  5. Step 5: Solve for x
    x = 474,416,233.95/24,954.32
  6. Step 6: Final answer
    x = 19,011.39

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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.