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Finding the Fourth Proportional to 19,762.91, 27,272.80 and 10,810.38

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Solution

The fourth proportional to 19,762.91, 27,272.80 and 10,810.38 is: 14,918.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.91 : 27,272.80 = 10,810.38 : x
  2. Step 2: Convert to fraction form
    19,762.91/27,272.80 = 10,810.38/x
  3. Step 3: Cross multiply
    19,762.91x = 27,272.80 × 10,810.38
  4. Step 4: Simplify right side
    19,762.91x = 294,829,331.66
  5. Step 5: Solve for x
    x = 294,829,331.66/19,762.91
  6. Step 6: Final answer
    x = 14,918.32

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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.