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Finding the Fourth Proportional to 13,705, 18,911.88 and 7,737.28

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Solution

The fourth proportional to 13,705, 18,911.88 and 7,737.28 is: 10,676.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705 : 18,911.88 = 7,737.28 : x
  2. Step 2: Convert to fraction form
    13,705/18,911.88 = 7,737.28/x
  3. Step 3: Cross multiply
    13,705x = 18,911.88 × 7,737.28
  4. Step 4: Simplify right side
    13,705x = 146,326,510.89
  5. Step 5: Solve for x
    x = 146,326,510.89/13,705
  6. Step 6: Final answer
    x = 10,676.87

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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.