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Finding the Fourth Proportional to 14,005.40, 20,988.30 and 7,768.16

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Solution

The fourth proportional to 14,005.40, 20,988.30 and 7,768.16 is: 11,641.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,005.40 : 20,988.30 = 7,768.16 : x
  2. Step 2: Convert to fraction form
    14,005.40/20,988.30 = 7,768.16/x
  3. Step 3: Cross multiply
    14,005.40x = 20,988.30 × 7,768.16
  4. Step 4: Simplify right side
    14,005.40x = 163,040,472.53
  5. Step 5: Solve for x
    x = 163,040,472.53/14,005.40
  6. Step 6: Final answer
    x = 11,641.26

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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.