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Finding the Fourth Proportional to 22,832.49, 31,508.72 and 12,760.93

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Solution

The fourth proportional to 22,832.49, 31,508.72 and 12,760.93 is: 17,610.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,832.49 : 31,508.72 = 12,760.93 : x
  2. Step 2: Convert to fraction form
    22,832.49/31,508.72 = 12,760.93/x
  3. Step 3: Cross multiply
    22,832.49x = 31,508.72 × 12,760.93
  4. Step 4: Simplify right side
    22,832.49x = 402,080,412.77
  5. Step 5: Solve for x
    x = 402,080,412.77/22,832.49
  6. Step 6: Final answer
    x = 17,610.01

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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.