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Finding the Fourth Proportional to 23,151, 34,728.12 and 9,300

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Solution

The fourth proportional to 23,151, 34,728.12 and 9,300 is: 13,950.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,151 : 34,728.12 = 9,300 : x
  2. Step 2: Convert to fraction form
    23,151/34,728.12 = 9,300/x
  3. Step 3: Cross multiply
    23,151x = 34,728.12 × 9,300
  4. Step 4: Simplify right side
    23,151x = 322,971,516
  5. Step 5: Solve for x
    x = 322,971,516/23,151
  6. Step 6: Final answer
    x = 13,950.65

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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.