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Finding the Fourth Proportional to 14,599.64, 20,154.21 and 9,564.08

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Solution

The fourth proportional to 14,599.64, 20,154.21 and 9,564.08 is: 13,202.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,599.64 : 20,154.21 = 9,564.08 : x
  2. Step 2: Convert to fraction form
    14,599.64/20,154.21 = 9,564.08/x
  3. Step 3: Cross multiply
    14,599.64x = 20,154.21 × 9,564.08
  4. Step 4: Simplify right side
    14,599.64x = 192,756,476.78
  5. Step 5: Solve for x
    x = 192,756,476.78/14,599.64
  6. Step 6: Final answer
    x = 13,202.82

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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.