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Finding the Fourth Proportional to 23,349.05, 32,212.47 and 14,381

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Solution

The fourth proportional to 23,349.05, 32,212.47 and 14,381 is: 19,840.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,349.05 : 32,212.47 = 14,381 : x
  2. Step 2: Convert to fraction form
    23,349.05/32,212.47 = 14,381/x
  3. Step 3: Cross multiply
    23,349.05x = 32,212.47 × 14,381
  4. Step 4: Simplify right side
    23,349.05x = 463,247,531.07
  5. Step 5: Solve for x
    x = 463,247,531.07/23,349.05
  6. Step 6: Final answer
    x = 19,840.10

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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.