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Finding the Fourth Proportional to 23,225.18, 32,051.04 and 12,614.99

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Solution

The fourth proportional to 23,225.18, 32,051.04 and 12,614.99 is: 17,408.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,225.18 : 32,051.04 = 12,614.99 : x
  2. Step 2: Convert to fraction form
    23,225.18/32,051.04 = 12,614.99/x
  3. Step 3: Cross multiply
    23,225.18x = 32,051.04 × 12,614.99
  4. Step 4: Simplify right side
    23,225.18x = 404,323,549.09
  5. Step 5: Solve for x
    x = 404,323,549.09/23,225.18
  6. Step 6: Final answer
    x = 17,408.84

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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.