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Finding the Fourth Proportional to 19,608.90, 29,416.40 and 6,457.14

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Solution

The fourth proportional to 19,608.90, 29,416.40 and 6,457.14 is: 9,686.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,608.90 : 29,416.40 = 6,457.14 : x
  2. Step 2: Convert to fraction form
    19,608.90/29,416.40 = 6,457.14/x
  3. Step 3: Cross multiply
    19,608.90x = 29,416.40 × 6,457.14
  4. Step 4: Simplify right side
    19,608.90x = 189,945,780.81
  5. Step 5: Solve for x
    x = 189,945,780.81/19,608.90
  6. Step 6: Final answer
    x = 9,686.71

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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.