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Finding the Fourth Proportional to 15,929.46, 23,894.22 and 4,242.66

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Solution

The fourth proportional to 15,929.46, 23,894.22 and 4,242.66 is: 6,364.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,929.46 : 23,894.22 = 4,242.66 : x
  2. Step 2: Convert to fraction form
    15,929.46/23,894.22 = 4,242.66/x
  3. Step 3: Cross multiply
    15,929.46x = 23,894.22 × 4,242.66
  4. Step 4: Simplify right side
    15,929.46x = 101,375,051.43
  5. Step 5: Solve for x
    x = 101,375,051.43/15,929.46
  6. Step 6: Final answer
    x = 6,364.00

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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.