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Finding the Fourth Proportional to 14,381.45, 19,852.52 and 9,668.46

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Solution

The fourth proportional to 14,381.45, 19,852.52 and 9,668.46 is: 13,346.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,381.45 : 19,852.52 = 9,668.46 : x
  2. Step 2: Convert to fraction form
    14,381.45/19,852.52 = 9,668.46/x
  3. Step 3: Cross multiply
    14,381.45x = 19,852.52 × 9,668.46
  4. Step 4: Simplify right side
    14,381.45x = 191,943,271.35
  5. Step 5: Solve for x
    x = 191,943,271.35/14,381.45
  6. Step 6: Final answer
    x = 13,346.59

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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.