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Finding the Fourth Proportional to 16,258.30, 22,428.04 and 9,539.42

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Solution

The fourth proportional to 16,258.30, 22,428.04 and 9,539.42 is: 13,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,258.30 : 22,428.04 = 9,539.42 : x
  2. Step 2: Convert to fraction form
    16,258.30/22,428.04 = 9,539.42/x
  3. Step 3: Cross multiply
    16,258.30x = 22,428.04 × 9,539.42
  4. Step 4: Simplify right side
    16,258.30x = 213,950,493.34
  5. Step 5: Solve for x
    x = 213,950,493.34/16,258.30
  6. Step 6: Final answer
    x = 13,159.46

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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.