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Finding the Fourth Proportional to 14,696.16, 22,042.32 and 5,335.20

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Solution

The fourth proportional to 14,696.16, 22,042.32 and 5,335.20 is: 8,002.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,696.16 : 22,042.32 = 5,335.20 : x
  2. Step 2: Convert to fraction form
    14,696.16/22,042.32 = 5,335.20/x
  3. Step 3: Cross multiply
    14,696.16x = 22,042.32 × 5,335.20
  4. Step 4: Simplify right side
    14,696.16x = 117,600,185.66
  5. Step 5: Solve for x
    x = 117,600,185.66/14,696.16
  6. Step 6: Final answer
    x = 8,002.10

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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.