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Finding the Fourth Proportional to 14,295.58, 19,727.66 and 7,835.15

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Solution

The fourth proportional to 14,295.58, 19,727.66 and 7,835.15 is: 10,812.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,295.58 : 19,727.66 = 7,835.15 : x
  2. Step 2: Convert to fraction form
    14,295.58/19,727.66 = 7,835.15/x
  3. Step 3: Cross multiply
    14,295.58x = 19,727.66 × 7,835.15
  4. Step 4: Simplify right side
    14,295.58x = 154,569,136.07
  5. Step 5: Solve for x
    x = 154,569,136.07/14,295.58
  6. Step 6: Final answer
    x = 10,812.38

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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.