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Finding the Fourth Proportional to 13,270.34, 19,883.64 and 7,708.07

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Solution

The fourth proportional to 13,270.34, 19,883.64 and 7,708.07 is: 11,549.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,270.34 : 19,883.64 = 7,708.07 : x
  2. Step 2: Convert to fraction form
    13,270.34/19,883.64 = 7,708.07/x
  3. Step 3: Cross multiply
    13,270.34x = 19,883.64 × 7,708.07
  4. Step 4: Simplify right side
    13,270.34x = 153,264,567.59
  5. Step 5: Solve for x
    x = 153,264,567.59/13,270.34
  6. Step 6: Final answer
    x = 11,549.41

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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.