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Finding the Fourth Proportional to 13,677.84, 20,498.04 and 7,429.68

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Solution

The fourth proportional to 13,677.84, 20,498.04 and 7,429.68 is: 11,134.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,677.84 : 20,498.04 = 7,429.68 : x
  2. Step 2: Convert to fraction form
    13,677.84/20,498.04 = 7,429.68/x
  3. Step 3: Cross multiply
    13,677.84x = 20,498.04 × 7,429.68
  4. Step 4: Simplify right side
    13,677.84x = 152,293,877.83
  5. Step 5: Solve for x
    x = 152,293,877.83/13,677.84
  6. Step 6: Final answer
    x = 11,134.35

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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.