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Finding the Fourth Proportional to 13,767.96, 19,002.80 and 9,052.68

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Solution

The fourth proportional to 13,767.96, 19,002.80 and 9,052.68 is: 12,494.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.96 : 19,002.80 = 9,052.68 : x
  2. Step 2: Convert to fraction form
    13,767.96/19,002.80 = 9,052.68/x
  3. Step 3: Cross multiply
    13,767.96x = 19,002.80 × 9,052.68
  4. Step 4: Simplify right side
    13,767.96x = 172,026,267.50
  5. Step 5: Solve for x
    x = 172,026,267.50/13,767.96
  6. Step 6: Final answer
    x = 12,494.68

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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.