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Finding the Fourth Proportional to 15,964, 23,945.07 and 6,104.28

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Solution

The fourth proportional to 15,964, 23,945.07 and 6,104.28 is: 9,156.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,964 : 23,945.07 = 6,104.28 : x
  2. Step 2: Convert to fraction form
    15,964/23,945.07 = 6,104.28/x
  3. Step 3: Cross multiply
    15,964x = 23,945.07 × 6,104.28
  4. Step 4: Simplify right side
    15,964x = 146,167,411.90
  5. Step 5: Solve for x
    x = 146,167,411.90/15,964
  6. Step 6: Final answer
    x = 9,156.06

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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.