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Finding the Fourth Proportional to 19,294, 26,625.88 and 10,462

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Solution

The fourth proportional to 19,294, 26,625.88 and 10,462 is: 14,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,294 : 26,625.88 = 10,462 : x
  2. Step 2: Convert to fraction form
    19,294/26,625.88 = 10,462/x
  3. Step 3: Cross multiply
    19,294x = 26,625.88 × 10,462
  4. Step 4: Simplify right side
    19,294x = 278,559,956.56
  5. Step 5: Solve for x
    x = 278,559,956.56/19,294
  6. Step 6: Final answer
    x = 14,437.65

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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.