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Finding the Fourth Proportional to 23,209.70, 34,816.48 and 7,416.98

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Solution

The fourth proportional to 23,209.70, 34,816.48 and 7,416.98 is: 11,126.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,209.70 : 34,816.48 = 7,416.98 : x
  2. Step 2: Convert to fraction form
    23,209.70/34,816.48 = 7,416.98/x
  3. Step 3: Cross multiply
    23,209.70x = 34,816.48 × 7,416.98
  4. Step 4: Simplify right side
    23,209.70x = 258,233,017.57
  5. Step 5: Solve for x
    x = 258,233,017.57/23,209.70
  6. Step 6: Final answer
    x = 11,126.08

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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.