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Finding the Fourth Proportional to 22,308.71, 30,782.75 and 13,354.34

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Solution

The fourth proportional to 22,308.71, 30,782.75 and 13,354.34 is: 18,427.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,308.71 : 30,782.75 = 13,354.34 : x
  2. Step 2: Convert to fraction form
    22,308.71/30,782.75 = 13,354.34/x
  3. Step 3: Cross multiply
    22,308.71x = 30,782.75 × 13,354.34
  4. Step 4: Simplify right side
    22,308.71x = 411,083,088.95
  5. Step 5: Solve for x
    x = 411,083,088.95/22,308.71
  6. Step 6: Final answer
    x = 18,427.03

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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.