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Finding the Fourth Proportional to 14,137.63, 19,510.53 and 7,850

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Solution

The fourth proportional to 14,137.63, 19,510.53 and 7,850 is: 10,833.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.63 : 19,510.53 = 7,850 : x
  2. Step 2: Convert to fraction form
    14,137.63/19,510.53 = 7,850/x
  3. Step 3: Cross multiply
    14,137.63x = 19,510.53 × 7,850
  4. Step 4: Simplify right side
    14,137.63x = 153,157,660.50
  5. Step 5: Solve for x
    x = 153,157,660.50/14,137.63
  6. Step 6: Final answer
    x = 10,833.33

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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.