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Finding the Fourth Proportional to 23,522.40, 32,461.28 and 12,913

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Solution

The fourth proportional to 23,522.40, 32,461.28 and 12,913 is: 17,820.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,522.40 : 32,461.28 = 12,913 : x
  2. Step 2: Convert to fraction form
    23,522.40/32,461.28 = 12,913/x
  3. Step 3: Cross multiply
    23,522.40x = 32,461.28 × 12,913
  4. Step 4: Simplify right side
    23,522.40x = 419,172,508.64
  5. Step 5: Solve for x
    x = 419,172,508.64/23,522.40
  6. Step 6: Final answer
    x = 17,820.14

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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.