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Finding the Fourth Proportional to 13,026.16, 19,538.95 and 3,165.49

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Solution

The fourth proportional to 13,026.16, 19,538.95 and 3,165.49 is: 4,748.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,026.16 : 19,538.95 = 3,165.49 : x
  2. Step 2: Convert to fraction form
    13,026.16/19,538.95 = 3,165.49/x
  3. Step 3: Cross multiply
    13,026.16x = 19,538.95 × 3,165.49
  4. Step 4: Simplify right side
    13,026.16x = 61,850,350.84
  5. Step 5: Solve for x
    x = 61,850,350.84/13,026.16
  6. Step 6: Final answer
    x = 4,748.16

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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.