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Finding the Fourth Proportional to 24,958, 34,442.04 and 13,780.72

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Solution

The fourth proportional to 24,958, 34,442.04 and 13,780.72 is: 19,017.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,958 : 34,442.04 = 13,780.72 : x
  2. Step 2: Convert to fraction form
    24,958/34,442.04 = 13,780.72/x
  3. Step 3: Cross multiply
    24,958x = 34,442.04 × 13,780.72
  4. Step 4: Simplify right side
    24,958x = 474,636,109.47
  5. Step 5: Solve for x
    x = 474,636,109.47/24,958
  6. Step 6: Final answer
    x = 19,017.39

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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.