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Finding the Fourth Proportional to 15,654.34, 21,609.75 and 9,365.50

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Solution

The fourth proportional to 15,654.34, 21,609.75 and 9,365.50 is: 12,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,654.34 : 21,609.75 = 9,365.50 : x
  2. Step 2: Convert to fraction form
    15,654.34/21,609.75 = 9,365.50/x
  3. Step 3: Cross multiply
    15,654.34x = 21,609.75 × 9,365.50
  4. Step 4: Simplify right side
    15,654.34x = 202,386,113.63
  5. Step 5: Solve for x
    x = 202,386,113.63/15,654.34
  6. Step 6: Final answer
    x = 12,928.43

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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.