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Finding the Fourth Proportional to 14,312.24, 19,751.28 and 8,024.48

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Solution

The fourth proportional to 14,312.24, 19,751.28 and 8,024.48 is: 11,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.24 : 19,751.28 = 8,024.48 : x
  2. Step 2: Convert to fraction form
    14,312.24/19,751.28 = 8,024.48/x
  3. Step 3: Cross multiply
    14,312.24x = 19,751.28 × 8,024.48
  4. Step 4: Simplify right side
    14,312.24x = 158,493,751.33
  5. Step 5: Solve for x
    x = 158,493,751.33/14,312.24
  6. Step 6: Final answer
    x = 11,074.00

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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.