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Finding the Fourth Proportional to 14,208.99, 19,607.95 and 7,835.85

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Solution

The fourth proportional to 14,208.99, 19,607.95 and 7,835.85 is: 10,813.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,208.99 : 19,607.95 = 7,835.85 : x
  2. Step 2: Convert to fraction form
    14,208.99/19,607.95 = 7,835.85/x
  3. Step 3: Cross multiply
    14,208.99x = 19,607.95 × 7,835.85
  4. Step 4: Simplify right side
    14,208.99x = 153,644,909.65
  5. Step 5: Solve for x
    x = 153,644,909.65/14,208.99
  6. Step 6: Final answer
    x = 10,813.22

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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.