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Finding the Fourth Proportional to 23,580.34, 35,374.88 and 7,786.46

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Solution

The fourth proportional to 23,580.34, 35,374.88 and 7,786.46 is: 11,681.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,580.34 : 35,374.88 = 7,786.46 : x
  2. Step 2: Convert to fraction form
    23,580.34/35,374.88 = 7,786.46/x
  3. Step 3: Cross multiply
    23,580.34x = 35,374.88 × 7,786.46
  4. Step 4: Simplify right side
    23,580.34x = 275,445,196.03
  5. Step 5: Solve for x
    x = 275,445,196.03/23,580.34
  6. Step 6: Final answer
    x = 11,681.14

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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.