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Finding the Fourth Proportional to 23,497.68, 32,428.30 and 13,291.22

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Solution

The fourth proportional to 23,497.68, 32,428.30 and 13,291.22 is: 18,342.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,497.68 : 32,428.30 = 13,291.22 : x
  2. Step 2: Convert to fraction form
    23,497.68/32,428.30 = 13,291.22/x
  3. Step 3: Cross multiply
    23,497.68x = 32,428.30 × 13,291.22
  4. Step 4: Simplify right side
    23,497.68x = 431,011,742.29
  5. Step 5: Solve for x
    x = 431,011,742.29/23,497.68
  6. Step 6: Final answer
    x = 18,342.74

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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.