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Finding the Fourth Proportional to 19,442, 26,829.96 and 10,610

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Solution

The fourth proportional to 19,442, 26,829.96 and 10,610 is: 14,641.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,442 : 26,829.96 = 10,610 : x
  2. Step 2: Convert to fraction form
    19,442/26,829.96 = 10,610/x
  3. Step 3: Cross multiply
    19,442x = 26,829.96 × 10,610
  4. Step 4: Simplify right side
    19,442x = 284,665,875.60
  5. Step 5: Solve for x
    x = 284,665,875.60/19,442
  6. Step 6: Final answer
    x = 14,641.80

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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.