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Finding the Fourth Proportional to 14,320.72, 19,762.64 and 8,033.12

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Solution

The fourth proportional to 14,320.72, 19,762.64 and 8,033.12 is: 11,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,320.72 : 19,762.64 = 8,033.12 : x
  2. Step 2: Convert to fraction form
    14,320.72/19,762.64 = 8,033.12/x
  3. Step 3: Cross multiply
    14,320.72x = 19,762.64 × 8,033.12
  4. Step 4: Simplify right side
    14,320.72x = 158,755,658.64
  5. Step 5: Solve for x
    x = 158,755,658.64/14,320.72
  6. Step 6: Final answer
    x = 11,085.73

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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.