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Finding the Fourth Proportional to 16,598.63, 22,904.70 and 9,524.90

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Solution

The fourth proportional to 16,598.63, 22,904.70 and 9,524.90 is: 13,143.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,598.63 : 22,904.70 = 9,524.90 : x
  2. Step 2: Convert to fraction form
    16,598.63/22,904.70 = 9,524.90/x
  3. Step 3: Cross multiply
    16,598.63x = 22,904.70 × 9,524.90
  4. Step 4: Simplify right side
    16,598.63x = 218,164,977.03
  5. Step 5: Solve for x
    x = 218,164,977.03/16,598.63
  6. Step 6: Final answer
    x = 13,143.55

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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.