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Finding the Fourth Proportional to 12,812.34, 17,681.12 and 7,435.86

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Solution

The fourth proportional to 12,812.34, 17,681.12 and 7,435.86 is: 10,261.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,812.34 : 17,681.12 = 7,435.86 : x
  2. Step 2: Convert to fraction form
    12,812.34/17,681.12 = 7,435.86/x
  3. Step 3: Cross multiply
    12,812.34x = 17,681.12 × 7,435.86
  4. Step 4: Simplify right side
    12,812.34x = 131,474,332.96
  5. Step 5: Solve for x
    x = 131,474,332.96/12,812.34
  6. Step 6: Final answer
    x = 10,261.54

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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.