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Finding the Fourth Proportional to 23,681.60, 35,523 and 11,207.46

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Solution

The fourth proportional to 23,681.60, 35,523 and 11,207.46 is: 16,811.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,681.60 : 35,523 = 11,207.46 : x
  2. Step 2: Convert to fraction form
    23,681.60/35,523 = 11,207.46/x
  3. Step 3: Cross multiply
    23,681.60x = 35,523 × 11,207.46
  4. Step 4: Simplify right side
    23,681.60x = 398,122,601.58
  5. Step 5: Solve for x
    x = 398,122,601.58/23,681.60
  6. Step 6: Final answer
    x = 16,811.48

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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.