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Finding the Fourth Proportional to 19,605.26, 29,412.44 and 6,457.16

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Solution

The fourth proportional to 19,605.26, 29,412.44 and 6,457.16 is: 9,687.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,605.26 : 29,412.44 = 6,457.16 : x
  2. Step 2: Convert to fraction form
    19,605.26/29,412.44 = 6,457.16/x
  3. Step 3: Cross multiply
    19,605.26x = 29,412.44 × 6,457.16
  4. Step 4: Simplify right side
    19,605.26x = 189,920,831.07
  5. Step 5: Solve for x
    x = 189,920,831.07/19,605.26
  6. Step 6: Final answer
    x = 9,687.24

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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.