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Finding the Fourth Proportional to 14,025.57, 19,355.29 and 7,975.47

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Solution

The fourth proportional to 14,025.57, 19,355.29 and 7,975.47 is: 11,006.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,025.57 : 19,355.29 = 7,975.47 : x
  2. Step 2: Convert to fraction form
    14,025.57/19,355.29 = 7,975.47/x
  3. Step 3: Cross multiply
    14,025.57x = 19,355.29 × 7,975.47
  4. Step 4: Simplify right side
    14,025.57x = 154,367,587.38
  5. Step 5: Solve for x
    x = 154,367,587.38/14,025.57
  6. Step 6: Final answer
    x = 11,006.16

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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.