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Finding the Fourth Proportional to 13,577.64, 18,717.50 and 9,532.14

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Solution

The fourth proportional to 13,577.64, 18,717.50 and 9,532.14 is: 13,140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,577.64 : 18,717.50 = 9,532.14 : x
  2. Step 2: Convert to fraction form
    13,577.64/18,717.50 = 9,532.14/x
  3. Step 3: Cross multiply
    13,577.64x = 18,717.50 × 9,532.14
  4. Step 4: Simplify right side
    13,577.64x = 178,417,830.45
  5. Step 5: Solve for x
    x = 178,417,830.45/13,577.64
  6. Step 6: Final answer
    x = 13,140.57

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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.