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Finding the Fourth Proportional to 15,820.16, 21,830.96 and 8,746.13

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Solution

The fourth proportional to 15,820.16, 21,830.96 and 8,746.13 is: 12,069.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,820.16 : 21,830.96 = 8,746.13 : x
  2. Step 2: Convert to fraction form
    15,820.16/21,830.96 = 8,746.13/x
  3. Step 3: Cross multiply
    15,820.16x = 21,830.96 × 8,746.13
  4. Step 4: Simplify right side
    15,820.16x = 190,936,261.30
  5. Step 5: Solve for x
    x = 190,936,261.30/15,820.16
  6. Step 6: Final answer
    x = 12,069.18

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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.