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Finding the Fourth Proportional to 23,547.96, 32,496.21 and 12,938.22

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Solution

The fourth proportional to 23,547.96, 32,496.21 and 12,938.22 is: 17,854.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,547.96 : 32,496.21 = 12,938.22 : x
  2. Step 2: Convert to fraction form
    23,547.96/32,496.21 = 12,938.22/x
  3. Step 3: Cross multiply
    23,547.96x = 32,496.21 × 12,938.22
  4. Step 4: Simplify right side
    23,547.96x = 420,443,114.15
  5. Step 5: Solve for x
    x = 420,443,114.15/23,547.96
  6. Step 6: Final answer
    x = 17,854.76

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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.