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Finding the Fourth Proportional to 15,219.64, 22,841.72 and 6,460.72

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Solution

The fourth proportional to 15,219.64, 22,841.72 and 6,460.72 is: 9,696.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,219.64 : 22,841.72 = 6,460.72 : x
  2. Step 2: Convert to fraction form
    15,219.64/22,841.72 = 6,460.72/x
  3. Step 3: Cross multiply
    15,219.64x = 22,841.72 × 6,460.72
  4. Step 4: Simplify right side
    15,219.64x = 147,573,957.24
  5. Step 5: Solve for x
    x = 147,573,957.24/15,219.64
  6. Step 6: Final answer
    x = 9,696.28

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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.