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Finding the Fourth Proportional to 21,026.31, 31,547.88 and 8,547.29

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Solution

The fourth proportional to 21,026.31, 31,547.88 and 8,547.29 is: 12,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,026.31 : 31,547.88 = 8,547.29 : x
  2. Step 2: Convert to fraction form
    21,026.31/31,547.88 = 8,547.29/x
  3. Step 3: Cross multiply
    21,026.31x = 31,547.88 × 8,547.29
  4. Step 4: Simplify right side
    21,026.31x = 269,648,879.25
  5. Step 5: Solve for x
    x = 269,648,879.25/21,026.31
  6. Step 6: Final answer
    x = 12,824.36

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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.