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Finding the Fourth Proportional to 30,624.86, 42,261.80 and 17,196.14

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Solution

The fourth proportional to 30,624.86, 42,261.80 and 17,196.14 is: 23,730.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,624.86 : 42,261.80 = 17,196.14 : x
  2. Step 2: Convert to fraction form
    30,624.86/42,261.80 = 17,196.14/x
  3. Step 3: Cross multiply
    30,624.86x = 42,261.80 × 17,196.14
  4. Step 4: Simplify right side
    30,624.86x = 726,739,829.45
  5. Step 5: Solve for x
    x = 726,739,829.45/30,624.86
  6. Step 6: Final answer
    x = 23,730.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.