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Finding the Fourth Proportional to 14,478.15, 19,981.62 and 8,510.38

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Solution

The fourth proportional to 14,478.15, 19,981.62 and 8,510.38 is: 11,745.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,478.15 : 19,981.62 = 8,510.38 : x
  2. Step 2: Convert to fraction form
    14,478.15/19,981.62 = 8,510.38/x
  3. Step 3: Cross multiply
    14,478.15x = 19,981.62 × 8,510.38
  4. Step 4: Simplify right side
    14,478.15x = 170,051,129.26
  5. Step 5: Solve for x
    x = 170,051,129.26/14,478.15
  6. Step 6: Final answer
    x = 11,745.36

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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.