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Finding the Fourth Proportional to 13,624.80, 20,437.20 and 13,538.40

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Solution

The fourth proportional to 13,624.80, 20,437.20 and 13,538.40 is: 20,307.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,624.80 : 20,437.20 = 13,538.40 : x
  2. Step 2: Convert to fraction form
    13,624.80/20,437.20 = 13,538.40/x
  3. Step 3: Cross multiply
    13,624.80x = 20,437.20 × 13,538.40
  4. Step 4: Simplify right side
    13,624.80x = 276,686,988.48
  5. Step 5: Solve for x
    x = 276,686,988.48/13,624.80
  6. Step 6: Final answer
    x = 20,307.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.