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Finding the Fourth Proportional to 14,596.47, 20,152.06 and 9,496.83

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Solution

The fourth proportional to 14,596.47, 20,152.06 and 9,496.83 is: 13,111.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,596.47 : 20,152.06 = 9,496.83 : x
  2. Step 2: Convert to fraction form
    14,596.47/20,152.06 = 9,496.83/x
  3. Step 3: Cross multiply
    14,596.47x = 20,152.06 × 9,496.83
  4. Step 4: Simplify right side
    14,596.47x = 191,380,664.23
  5. Step 5: Solve for x
    x = 191,380,664.23/14,596.47
  6. Step 6: Final answer
    x = 13,111.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.