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Finding the Fourth Proportional to 23,613, 32,585.94 and 13,002.61

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Solution

The fourth proportional to 23,613, 32,585.94 and 13,002.61 is: 17,943.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,613 : 32,585.94 = 13,002.61 : x
  2. Step 2: Convert to fraction form
    23,613/32,585.94 = 13,002.61/x
  3. Step 3: Cross multiply
    23,613x = 32,585.94 × 13,002.61
  4. Step 4: Simplify right side
    23,613x = 423,702,187.84
  5. Step 5: Solve for x
    x = 423,702,187.84/23,613
  6. Step 6: Final answer
    x = 17,943.60

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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.