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Finding the Fourth Proportional to 13,039.59, 17,970.52 and 9,262.90

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Solution

The fourth proportional to 13,039.59, 17,970.52 and 9,262.90 is: 12,765.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,039.59 : 17,970.52 = 9,262.90 : x
  2. Step 2: Convert to fraction form
    13,039.59/17,970.52 = 9,262.90/x
  3. Step 3: Cross multiply
    13,039.59x = 17,970.52 × 9,262.90
  4. Step 4: Simplify right side
    13,039.59x = 166,459,129.71
  5. Step 5: Solve for x
    x = 166,459,129.71/13,039.59
  6. Step 6: Final answer
    x = 12,765.67

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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.