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Finding the Fourth Proportional to 13,020.65, 19,538.95 and 5,624.94

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Solution

The fourth proportional to 13,020.65, 19,538.95 and 5,624.94 is: 8,440.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,020.65 : 19,538.95 = 5,624.94 : x
  2. Step 2: Convert to fraction form
    13,020.65/19,538.95 = 5,624.94/x
  3. Step 3: Cross multiply
    13,020.65x = 19,538.95 × 5,624.94
  4. Step 4: Simplify right side
    13,020.65x = 109,905,475.35
  5. Step 5: Solve for x
    x = 109,905,475.35/13,020.65
  6. Step 6: Final answer
    x = 8,440.86

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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.