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Finding the Fourth Proportional to 23,152.67, 34,705.14 and 9,107.00

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Solution

The fourth proportional to 23,152.67, 34,705.14 and 9,107.00 is: 13,651.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,152.67 : 34,705.14 = 9,107.00 : x
  2. Step 2: Convert to fraction form
    23,152.67/34,705.14 = 9,107.00/x
  3. Step 3: Cross multiply
    23,152.67x = 34,705.14 × 9,107.00
  4. Step 4: Simplify right side
    23,152.67x = 316,059,536.45
  5. Step 5: Solve for x
    x = 316,059,536.45/23,152.67
  6. Step 6: Final answer
    x = 13,651.11

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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.