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Finding the Fourth Proportional to 15,820.13, 21,832.23 and 8,747

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Solution

The fourth proportional to 15,820.13, 21,832.23 and 8,747 is: 12,071.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.13 : 21,832.23 = 8,747 : x
  2. Step 2: Convert to fraction form
    15,820.13/21,832.23 = 8,747/x
  3. Step 3: Cross multiply
    15,820.13x = 21,832.23 × 8,747
  4. Step 4: Simplify right side
    15,820.13x = 190,966,515.81
  5. Step 5: Solve for x
    x = 190,966,515.81/15,820.13
  6. Step 6: Final answer
    x = 12,071.11

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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.