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Finding the Fourth Proportional to 23,778.51, 32,808.70 and 14,083.07

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Solution

The fourth proportional to 23,778.51, 32,808.70 and 14,083.07 is: 19,431.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,778.51 : 32,808.70 = 14,083.07 : x
  2. Step 2: Convert to fraction form
    23,778.51/32,808.70 = 14,083.07/x
  3. Step 3: Cross multiply
    23,778.51x = 32,808.70 × 14,083.07
  4. Step 4: Simplify right side
    23,778.51x = 462,047,218.71
  5. Step 5: Solve for x
    x = 462,047,218.71/23,778.51
  6. Step 6: Final answer
    x = 19,431.29

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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.