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Finding the Fourth Proportional to 14,597.64, 20,126.30 and 9,553.86

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Solution

The fourth proportional to 14,597.64, 20,126.30 and 9,553.86 is: 13,172.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,597.64 : 20,126.30 = 9,553.86 : x
  2. Step 2: Convert to fraction form
    14,597.64/20,126.30 = 9,553.86/x
  3. Step 3: Cross multiply
    14,597.64x = 20,126.30 × 9,553.86
  4. Step 4: Simplify right side
    14,597.64x = 192,283,804.75
  5. Step 5: Solve for x
    x = 192,283,804.75/14,597.64
  6. Step 6: Final answer
    x = 13,172.25

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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.