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Finding the Fourth Proportional to 14,916.56, 20,577.95 and 9,537.60

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Solution

The fourth proportional to 14,916.56, 20,577.95 and 9,537.60 is: 13,157.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,916.56 : 20,577.95 = 9,537.60 : x
  2. Step 2: Convert to fraction form
    14,916.56/20,577.95 = 9,537.60/x
  3. Step 3: Cross multiply
    14,916.56x = 20,577.95 × 9,537.60
  4. Step 4: Simplify right side
    14,916.56x = 196,264,205.41
  5. Step 5: Solve for x
    x = 196,264,205.41/14,916.56
  6. Step 6: Final answer
    x = 13,157.48

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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.