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Finding the Fourth Proportional to 23,457.64, 32,374.76 and 14,388.42

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Solution

The fourth proportional to 23,457.64, 32,374.76 and 14,388.42 is: 19,857.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,457.64 : 32,374.76 = 14,388.42 : x
  2. Step 2: Convert to fraction form
    23,457.64/32,374.76 = 14,388.42/x
  3. Step 3: Cross multiply
    23,457.64x = 32,374.76 × 14,388.42
  4. Step 4: Simplify right side
    23,457.64x = 465,821,644.28
  5. Step 5: Solve for x
    x = 465,821,644.28/23,457.64
  6. Step 6: Final answer
    x = 19,857.99

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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.