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Finding the Fourth Proportional to 14,396.32, 19,852.86 and 9,868.96

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Solution

The fourth proportional to 14,396.32, 19,852.86 and 9,868.96 is: 13,609.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396.32 : 19,852.86 = 9,868.96 : x
  2. Step 2: Convert to fraction form
    14,396.32/19,852.86 = 9,868.96/x
  3. Step 3: Cross multiply
    14,396.32x = 19,852.86 × 9,868.96
  4. Step 4: Simplify right side
    14,396.32x = 195,927,081.23
  5. Step 5: Solve for x
    x = 195,927,081.23/14,396.32
  6. Step 6: Final answer
    x = 13,609.53

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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.