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Finding the Fourth Proportional to 30,666.48, 42,316.80 and 17,234.64

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Solution

The fourth proportional to 30,666.48, 42,316.80 and 17,234.64 is: 23,782.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,666.48 : 42,316.80 = 17,234.64 : x
  2. Step 2: Convert to fraction form
    30,666.48/42,316.80 = 17,234.64/x
  3. Step 3: Cross multiply
    30,666.48x = 42,316.80 × 17,234.64
  4. Step 4: Simplify right side
    30,666.48x = 729,314,813.95
  5. Step 5: Solve for x
    x = 729,314,813.95/30,666.48
  6. Step 6: Final answer
    x = 23,782.15

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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.