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Finding the Fourth Proportional to 14,616.51, 20,170.70 and 7,902.07

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Solution

The fourth proportional to 14,616.51, 20,170.70 and 7,902.07 is: 10,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.51 : 20,170.70 = 7,902.07 : x
  2. Step 2: Convert to fraction form
    14,616.51/20,170.70 = 7,902.07/x
  3. Step 3: Cross multiply
    14,616.51x = 20,170.70 × 7,902.07
  4. Step 4: Simplify right side
    14,616.51x = 159,390,283.35
  5. Step 5: Solve for x
    x = 159,390,283.35/14,616.51
  6. Step 6: Final answer
    x = 10,904.81

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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.