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Finding the Fourth Proportional to 23,931.44, 35,894.43 and 6,402.63

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Solution

The fourth proportional to 23,931.44, 35,894.43 and 6,402.63 is: 9,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,931.44 : 35,894.43 = 6,402.63 : x
  2. Step 2: Convert to fraction form
    23,931.44/35,894.43 = 6,402.63/x
  3. Step 3: Cross multiply
    23,931.44x = 35,894.43 × 6,402.63
  4. Step 4: Simplify right side
    23,931.44x = 229,818,754.35
  5. Step 5: Solve for x
    x = 229,818,754.35/23,931.44
  6. Step 6: Final answer
    x = 9,603.22

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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.