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Finding the Fourth Proportional to 15,506.30, 21,399.14 and 9,541.46

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Solution

The fourth proportional to 15,506.30, 21,399.14 and 9,541.46 is: 13,167.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,506.30 : 21,399.14 = 9,541.46 : x
  2. Step 2: Convert to fraction form
    15,506.30/21,399.14 = 9,541.46/x
  3. Step 3: Cross multiply
    15,506.30x = 21,399.14 × 9,541.46
  4. Step 4: Simplify right side
    15,506.30x = 204,179,038.34
  5. Step 5: Solve for x
    x = 204,179,038.34/15,506.30
  6. Step 6: Final answer
    x = 13,167.49

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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.