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Finding the Fourth Proportional to 13,120.65, 19,670.02 and 6,537.78

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Solution

The fourth proportional to 13,120.65, 19,670.02 and 6,537.78 is: 9,801.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,120.65 : 19,670.02 = 6,537.78 : x
  2. Step 2: Convert to fraction form
    13,120.65/19,670.02 = 6,537.78/x
  3. Step 3: Cross multiply
    13,120.65x = 19,670.02 × 6,537.78
  4. Step 4: Simplify right side
    13,120.65x = 128,598,263.36
  5. Step 5: Solve for x
    x = 128,598,263.36/13,120.65
  6. Step 6: Final answer
    x = 9,801.21

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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.