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Finding the Fourth Proportional to 16,750.42, 25,107.99 and 5,646.58

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Solution

The fourth proportional to 16,750.42, 25,107.99 and 5,646.58 is: 8,463.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,750.42 : 25,107.99 = 5,646.58 : x
  2. Step 2: Convert to fraction form
    16,750.42/25,107.99 = 5,646.58/x
  3. Step 3: Cross multiply
    16,750.42x = 25,107.99 × 5,646.58
  4. Step 4: Simplify right side
    16,750.42x = 141,774,274.17
  5. Step 5: Solve for x
    x = 141,774,274.17/16,750.42
  6. Step 6: Final answer
    x = 8,463.92

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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.