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Finding the Fourth Proportional to 14,386.16, 19,852.44 and 8,097.68

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Solution

The fourth proportional to 14,386.16, 19,852.44 and 8,097.68 is: 11,174.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,386.16 : 19,852.44 = 8,097.68 : x
  2. Step 2: Convert to fraction form
    14,386.16/19,852.44 = 8,097.68/x
  3. Step 3: Cross multiply
    14,386.16x = 19,852.44 × 8,097.68
  4. Step 4: Simplify right side
    14,386.16x = 160,758,706.34
  5. Step 5: Solve for x
    x = 160,758,706.34/14,386.16
  6. Step 6: Final answer
    x = 11,174.54

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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.