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Finding the Fourth Proportional to 14,762.25, 20,371.91 and 9,457.07

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Solution

The fourth proportional to 14,762.25, 20,371.91 and 9,457.07 is: 13,050.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,762.25 : 20,371.91 = 9,457.07 : x
  2. Step 2: Convert to fraction form
    14,762.25/20,371.91 = 9,457.07/x
  3. Step 3: Cross multiply
    14,762.25x = 20,371.91 × 9,457.07
  4. Step 4: Simplify right side
    14,762.25x = 192,658,458.41
  5. Step 5: Solve for x
    x = 192,658,458.41/14,762.25
  6. Step 6: Final answer
    x = 13,050.75

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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.