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Finding the Fourth Proportional to 14,312.35, 19,751.25 and 8,024.77

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Solution

The fourth proportional to 14,312.35, 19,751.25 and 8,024.77 is: 11,074.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,312.35 : 19,751.25 = 8,024.77 : x
  2. Step 2: Convert to fraction form
    14,312.35/19,751.25 = 8,024.77/x
  3. Step 3: Cross multiply
    14,312.35x = 19,751.25 × 8,024.77
  4. Step 4: Simplify right side
    14,312.35x = 158,499,238.46
  5. Step 5: Solve for x
    x = 158,499,238.46/14,312.35
  6. Step 6: Final answer
    x = 11,074.30

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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.