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Finding the Fourth Proportional to 13,678.84, 20,499.54 and 7,430.68

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Solution

The fourth proportional to 13,678.84, 20,499.54 and 7,430.68 is: 11,135.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,678.84 : 20,499.54 = 7,430.68 : x
  2. Step 2: Convert to fraction form
    13,678.84/20,499.54 = 7,430.68/x
  3. Step 3: Cross multiply
    13,678.84x = 20,499.54 × 7,430.68
  4. Step 4: Simplify right side
    13,678.84x = 152,325,521.89
  5. Step 5: Solve for x
    x = 152,325,521.89/13,678.84
  6. Step 6: Final answer
    x = 11,135.85

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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.