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Finding the Fourth Proportional to 14,070.24, 19,416.48 and 7,782.48

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Solution

The fourth proportional to 14,070.24, 19,416.48 and 7,782.48 is: 10,739.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,070.24 : 19,416.48 = 7,782.48 : x
  2. Step 2: Convert to fraction form
    14,070.24/19,416.48 = 7,782.48/x
  3. Step 3: Cross multiply
    14,070.24x = 19,416.48 × 7,782.48
  4. Step 4: Simplify right side
    14,070.24x = 151,108,367.27
  5. Step 5: Solve for x
    x = 151,108,367.27/14,070.24
  6. Step 6: Final answer
    x = 10,739.57

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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.