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Finding the Fourth Proportional to 10,902.03, 14,946.81 and 10,705.20

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Solution

The fourth proportional to 10,902.03, 14,946.81 and 10,705.20 is: 14,676.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,902.03 : 14,946.81 = 10,705.20 : x
  2. Step 2: Convert to fraction form
    10,902.03/14,946.81 = 10,705.20/x
  3. Step 3: Cross multiply
    10,902.03x = 14,946.81 × 10,705.20
  4. Step 4: Simplify right side
    10,902.03x = 160,008,590.41
  5. Step 5: Solve for x
    x = 160,008,590.41/10,902.03
  6. Step 6: Final answer
    x = 14,676.95

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.