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Finding the Fourth Proportional to 21,547.89, 29,735.91 and 12,116.25

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Solution

The fourth proportional to 21,547.89, 29,735.91 and 12,116.25 is: 16,720.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,547.89 : 29,735.91 = 12,116.25 : x
  2. Step 2: Convert to fraction form
    21,547.89/29,735.91 = 12,116.25/x
  3. Step 3: Cross multiply
    21,547.89x = 29,735.91 × 12,116.25
  4. Step 4: Simplify right side
    21,547.89x = 360,287,719.54
  5. Step 5: Solve for x
    x = 360,287,719.54/21,547.89
  6. Step 6: Final answer
    x = 16,720.32

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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.