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Finding the Fourth Proportional to 23,448.48, 32,358.90 and 12,838.14

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Solution

The fourth proportional to 23,448.48, 32,358.90 and 12,838.14 is: 17,716.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,448.48 : 32,358.90 = 12,838.14 : x
  2. Step 2: Convert to fraction form
    23,448.48/32,358.90 = 12,838.14/x
  3. Step 3: Cross multiply
    23,448.48x = 32,358.90 × 12,838.14
  4. Step 4: Simplify right side
    23,448.48x = 415,428,088.45
  5. Step 5: Solve for x
    x = 415,428,088.45/23,448.48
  6. Step 6: Final answer
    x = 17,716.63

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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.