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Finding the Fourth Proportional to 23,740.30, 35,597.30 and 9,710.18

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Solution

The fourth proportional to 23,740.30, 35,597.30 and 9,710.18 is: 14,559.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,740.30 : 35,597.30 = 9,710.18 : x
  2. Step 2: Convert to fraction form
    23,740.30/35,597.30 = 9,710.18/x
  3. Step 3: Cross multiply
    23,740.30x = 35,597.30 × 9,710.18
  4. Step 4: Simplify right side
    23,740.30x = 345,656,036.80
  5. Step 5: Solve for x
    x = 345,656,036.80/23,740.30
  6. Step 6: Final answer
    x = 14,559.89

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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.