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Finding the Fourth Proportional to 23,062.34, 31,829.04 and 12,992.72

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Solution

The fourth proportional to 23,062.34, 31,829.04 and 12,992.72 is: 17,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,062.34 : 31,829.04 = 12,992.72 : x
  2. Step 2: Convert to fraction form
    23,062.34/31,829.04 = 12,992.72/x
  3. Step 3: Cross multiply
    23,062.34x = 31,829.04 × 12,992.72
  4. Step 4: Simplify right side
    23,062.34x = 413,545,804.59
  5. Step 5: Solve for x
    x = 413,545,804.59/23,062.34
  6. Step 6: Final answer
    x = 17,931.65

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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.