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Finding the Fourth Proportional to 14,751, 22,130.82 and 4,363.02

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Solution

The fourth proportional to 14,751, 22,130.82 and 4,363.02 is: 6,545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,751 : 22,130.82 = 4,363.02 : x
  2. Step 2: Convert to fraction form
    14,751/22,130.82 = 4,363.02/x
  3. Step 3: Cross multiply
    14,751x = 22,130.82 × 4,363.02
  4. Step 4: Simplify right side
    14,751x = 96,557,210.28
  5. Step 5: Solve for x
    x = 96,557,210.28/14,751
  6. Step 6: Final answer
    x = 6,545.81

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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.