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Finding the Fourth Proportional to 14,538.88, 20,052.80 and 9,818.24

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Solution

The fourth proportional to 14,538.88, 20,052.80 and 9,818.24 is: 13,541.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,538.88 : 20,052.80 = 9,818.24 : x
  2. Step 2: Convert to fraction form
    14,538.88/20,052.80 = 9,818.24/x
  3. Step 3: Cross multiply
    14,538.88x = 20,052.80 × 9,818.24
  4. Step 4: Simplify right side
    14,538.88x = 196,883,203.07
  5. Step 5: Solve for x
    x = 196,883,203.07/14,538.88
  6. Step 6: Final answer
    x = 13,541.84

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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.