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Finding the Fourth Proportional to 23,522.16, 32,460.48 and 12,912

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Solution

The fourth proportional to 23,522.16, 32,460.48 and 12,912 is: 17,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.16 : 32,460.48 = 12,912 : x
  2. Step 2: Convert to fraction form
    23,522.16/32,460.48 = 12,912/x
  3. Step 3: Cross multiply
    23,522.16x = 32,460.48 × 12,912
  4. Step 4: Simplify right side
    23,522.16x = 419,129,717.76
  5. Step 5: Solve for x
    x = 419,129,717.76/23,522.16
  6. Step 6: Final answer
    x = 17,818.50

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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.