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Finding the Fourth Proportional to 14,478.85, 19,983.41 and 8,510.77

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Solution

The fourth proportional to 14,478.85, 19,983.41 and 8,510.77 is: 11,746.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.85 : 19,983.41 = 8,510.77 : x
  2. Step 2: Convert to fraction form
    14,478.85/19,983.41 = 8,510.77/x
  3. Step 3: Cross multiply
    14,478.85x = 19,983.41 × 8,510.77
  4. Step 4: Simplify right side
    14,478.85x = 170,074,206.33
  5. Step 5: Solve for x
    x = 170,074,206.33/14,478.85
  6. Step 6: Final answer
    x = 11,746.39

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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.