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Finding the Fourth Proportional to 12,898.46, 19,347.72 and 3,538.58

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Solution

The fourth proportional to 12,898.46, 19,347.72 and 3,538.58 is: 5,307.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.46 : 19,347.72 = 3,538.58 : x
  2. Step 2: Convert to fraction form
    12,898.46/19,347.72 = 3,538.58/x
  3. Step 3: Cross multiply
    12,898.46x = 19,347.72 × 3,538.58
  4. Step 4: Simplify right side
    12,898.46x = 68,463,455.04
  5. Step 5: Solve for x
    x = 68,463,455.04/12,898.46
  6. Step 6: Final answer
    x = 5,307.88

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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.