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Finding the Fourth Proportional to 23,894.34, 35,838.90 and 9,856.08

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Solution

The fourth proportional to 23,894.34, 35,838.90 and 9,856.08 is: 14,783.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,894.34 : 35,838.90 = 9,856.08 : x
  2. Step 2: Convert to fraction form
    23,894.34/35,838.90 = 9,856.08/x
  3. Step 3: Cross multiply
    23,894.34x = 35,838.90 × 9,856.08
  4. Step 4: Simplify right side
    23,894.34x = 353,231,065.51
  5. Step 5: Solve for x
    x = 353,231,065.51/23,894.34
  6. Step 6: Final answer
    x = 14,783.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.