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Finding the Fourth Proportional to 24,595.49, 33,941.62 and 13,985.13

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Solution

The fourth proportional to 24,595.49, 33,941.62 and 13,985.13 is: 19,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,595.49 : 33,941.62 = 13,985.13 : x
  2. Step 2: Convert to fraction form
    24,595.49/33,941.62 = 13,985.13/x
  3. Step 3: Cross multiply
    24,595.49x = 33,941.62 × 13,985.13
  4. Step 4: Simplify right side
    24,595.49x = 474,677,815.88
  5. Step 5: Solve for x
    x = 474,677,815.88/24,595.49
  6. Step 6: Final answer
    x = 19,299.38

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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.