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Finding the Fourth Proportional to 13,262.34, 19,893.51 and 6,315.78

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Solution

The fourth proportional to 13,262.34, 19,893.51 and 6,315.78 is: 9,473.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,262.34 : 19,893.51 = 6,315.78 : x
  2. Step 2: Convert to fraction form
    13,262.34/19,893.51 = 6,315.78/x
  3. Step 3: Cross multiply
    13,262.34x = 19,893.51 × 6,315.78
  4. Step 4: Simplify right side
    13,262.34x = 125,643,032.59
  5. Step 5: Solve for x
    x = 125,643,032.59/13,262.34
  6. Step 6: Final answer
    x = 9,473.67

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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.