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Finding the Fourth Proportional to 14,203.32, 19,601.45 and 7,829.91

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Solution

The fourth proportional to 14,203.32, 19,601.45 and 7,829.91 is: 10,805.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,203.32 : 19,601.45 = 7,829.91 : x
  2. Step 2: Convert to fraction form
    14,203.32/19,601.45 = 7,829.91/x
  3. Step 3: Cross multiply
    14,203.32x = 19,601.45 × 7,829.91
  4. Step 4: Simplify right side
    14,203.32x = 153,477,550.22
  5. Step 5: Solve for x
    x = 153,477,550.22/14,203.32
  6. Step 6: Final answer
    x = 10,805.75

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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.