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Finding the Fourth Proportional to 15,819.44, 21,830.72 and 8,746.16

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Solution

The fourth proportional to 15,819.44, 21,830.72 and 8,746.16 is: 12,069.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,819.44 : 21,830.72 = 8,746.16 : x
  2. Step 2: Convert to fraction form
    15,819.44/21,830.72 = 8,746.16/x
  3. Step 3: Cross multiply
    15,819.44x = 21,830.72 × 8,746.16
  4. Step 4: Simplify right side
    15,819.44x = 190,934,970.04
  5. Step 5: Solve for x
    x = 190,934,970.04/15,819.44
  6. Step 6: Final answer
    x = 12,069.64

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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.