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Finding the Fourth Proportional to 23,154.54, 34,733.34 and 9,113.46

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Solution

The fourth proportional to 23,154.54, 34,733.34 and 9,113.46 is: 13,670.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,154.54 : 34,733.34 = 9,113.46 : x
  2. Step 2: Convert to fraction form
    23,154.54/34,733.34 = 9,113.46/x
  3. Step 3: Cross multiply
    23,154.54x = 34,733.34 × 9,113.46
  4. Step 4: Simplify right side
    23,154.54x = 316,540,904.76
  5. Step 5: Solve for x
    x = 316,540,904.76/23,154.54
  6. Step 6: Final answer
    x = 13,670.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.