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Finding the Fourth Proportional to 15,509.56, 21,406.64 and 9,461.14

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Solution

The fourth proportional to 15,509.56, 21,406.64 and 9,461.14 is: 13,058.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,509.56 : 21,406.64 = 9,461.14 : x
  2. Step 2: Convert to fraction form
    15,509.56/21,406.64 = 9,461.14/x
  3. Step 3: Cross multiply
    15,509.56x = 21,406.64 × 9,461.14
  4. Step 4: Simplify right side
    15,509.56x = 202,531,217.97
  5. Step 5: Solve for x
    x = 202,531,217.97/15,509.56
  6. Step 6: Final answer
    x = 13,058.48

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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.