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Finding the Fourth Proportional to 13,035.60, 17,987.92 and 7,729.56

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Solution

The fourth proportional to 13,035.60, 17,987.92 and 7,729.56 is: 10,666.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,035.60 : 17,987.92 = 7,729.56 : x
  2. Step 2: Convert to fraction form
    13,035.60/17,987.92 = 7,729.56/x
  3. Step 3: Cross multiply
    13,035.60x = 17,987.92 × 7,729.56
  4. Step 4: Simplify right side
    13,035.60x = 139,038,706.92
  5. Step 5: Solve for x
    x = 139,038,706.92/13,035.60
  6. Step 6: Final answer
    x = 10,666.08

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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.