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Finding the Fourth Proportional to 14,070.24, 19,416.78 and 7,696.96

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Solution

The fourth proportional to 14,070.24, 19,416.78 and 7,696.96 is: 10,621.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.24 : 19,416.78 = 7,696.96 : x
  2. Step 2: Convert to fraction form
    14,070.24/19,416.78 = 7,696.96/x
  3. Step 3: Cross multiply
    14,070.24x = 19,416.78 × 7,696.96
  4. Step 4: Simplify right side
    14,070.24x = 149,450,130.45
  5. Step 5: Solve for x
    x = 149,450,130.45/14,070.24
  6. Step 6: Final answer
    x = 10,621.72

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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.