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Finding the Fourth Proportional to 16,590.75, 24,897.06 and 6,202.50

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Solution

The fourth proportional to 16,590.75, 24,897.06 and 6,202.50 is: 9,307.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590.75 : 24,897.06 = 6,202.50 : x
  2. Step 2: Convert to fraction form
    16,590.75/24,897.06 = 6,202.50/x
  3. Step 3: Cross multiply
    16,590.75x = 24,897.06 × 6,202.50
  4. Step 4: Simplify right side
    16,590.75x = 154,424,014.65
  5. Step 5: Solve for x
    x = 154,424,014.65/16,590.75
  6. Step 6: Final answer
    x = 9,307.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.