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Finding the Fourth Proportional to 19,146.38, 26,422.00 and 10,762.88

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Solution

The fourth proportional to 19,146.38, 26,422.00 and 10,762.88 is: 14,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,146.38 : 26,422.00 = 10,762.88 : x
  2. Step 2: Convert to fraction form
    19,146.38/26,422.00 = 10,762.88/x
  3. Step 3: Cross multiply
    19,146.38x = 26,422.00 × 10,762.88
  4. Step 4: Simplify right side
    19,146.38x = 284,376,656.34
  5. Step 5: Solve for x
    x = 284,376,656.34/19,146.38
  6. Step 6: Final answer
    x = 14,852.77

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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.