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Finding the Fourth Proportional to 22,633, 31,233.06 and 12,561.40

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Solution

The fourth proportional to 22,633, 31,233.06 and 12,561.40 is: 17,334.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,633 : 31,233.06 = 12,561.40 : x
  2. Step 2: Convert to fraction form
    22,633/31,233.06 = 12,561.40/x
  3. Step 3: Cross multiply
    22,633x = 31,233.06 × 12,561.40
  4. Step 4: Simplify right side
    22,633x = 392,330,959.88
  5. Step 5: Solve for x
    x = 392,330,959.88/22,633
  6. Step 6: Final answer
    x = 17,334.47

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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.