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Finding the Fourth Proportional to 21,547.42, 32,301.99 and 8,409.02

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Solution

The fourth proportional to 21,547.42, 32,301.99 and 8,409.02 is: 12,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.42 : 32,301.99 = 8,409.02 : x
  2. Step 2: Convert to fraction form
    21,547.42/32,301.99 = 8,409.02/x
  3. Step 3: Cross multiply
    21,547.42x = 32,301.99 × 8,409.02
  4. Step 4: Simplify right side
    21,547.42x = 271,627,918.44
  5. Step 5: Solve for x
    x = 271,627,918.44/21,547.42
  6. Step 6: Final answer
    x = 12,606.05

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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.