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Finding the Fourth Proportional to 19,644.14, 29,460.72 and 7,792.58

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Solution

The fourth proportional to 19,644.14, 29,460.72 and 7,792.58 is: 11,686.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,644.14 : 29,460.72 = 7,792.58 : x
  2. Step 2: Convert to fraction form
    19,644.14/29,460.72 = 7,792.58/x
  3. Step 3: Cross multiply
    19,644.14x = 29,460.72 × 7,792.58
  4. Step 4: Simplify right side
    19,644.14x = 229,575,017.46
  5. Step 5: Solve for x
    x = 229,575,017.46/19,644.14
  6. Step 6: Final answer
    x = 11,686.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.