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Finding the Fourth Proportional to 22,953.54, 31,676.02 and 13,400.04

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Solution

The fourth proportional to 22,953.54, 31,676.02 and 13,400.04 is: 18,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,953.54 : 31,676.02 = 13,400.04 : x
  2. Step 2: Convert to fraction form
    22,953.54/31,676.02 = 13,400.04/x
  3. Step 3: Cross multiply
    22,953.54x = 31,676.02 × 13,400.04
  4. Step 4: Simplify right side
    22,953.54x = 424,459,935.04
  5. Step 5: Solve for x
    x = 424,459,935.04/22,953.54
  6. Step 6: Final answer
    x = 18,492.13

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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.