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Finding the Fourth Proportional to 14,526.77, 20,033.61 and 9,742.88

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Solution

The fourth proportional to 14,526.77, 20,033.61 and 9,742.88 is: 13,436.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,526.77 : 20,033.61 = 9,742.88 : x
  2. Step 2: Convert to fraction form
    14,526.77/20,033.61 = 9,742.88/x
  3. Step 3: Cross multiply
    14,526.77x = 20,033.61 × 9,742.88
  4. Step 4: Simplify right side
    14,526.77x = 195,185,013.86
  5. Step 5: Solve for x
    x = 195,185,013.86/14,526.77
  6. Step 6: Final answer
    x = 13,436.23

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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.