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Finding the Fourth Proportional to 23,125, 34,693.26 and 6,709

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Solution

The fourth proportional to 23,125, 34,693.26 and 6,709 is: 10,065.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,125 : 34,693.26 = 6,709 : x
  2. Step 2: Convert to fraction form
    23,125/34,693.26 = 6,709/x
  3. Step 3: Cross multiply
    23,125x = 34,693.26 × 6,709
  4. Step 4: Simplify right side
    23,125x = 232,757,081.34
  5. Step 5: Solve for x
    x = 232,757,081.34/23,125
  6. Step 6: Final answer
    x = 10,065.17

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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.