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Finding the Fourth Proportional to 21,754.56, 32,613 and 12,971.02

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Solution

The fourth proportional to 21,754.56, 32,613 and 12,971.02 is: 19,445.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,754.56 : 32,613 = 12,971.02 : x
  2. Step 2: Convert to fraction form
    21,754.56/32,613 = 12,971.02/x
  3. Step 3: Cross multiply
    21,754.56x = 32,613 × 12,971.02
  4. Step 4: Simplify right side
    21,754.56x = 423,023,875.26
  5. Step 5: Solve for x
    x = 423,023,875.26/21,754.56
  6. Step 6: Final answer
    x = 19,445.30

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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.