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Finding the Fourth Proportional to 12,898.81, 19,353.68 and 7,048.58

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Solution

The fourth proportional to 12,898.81, 19,353.68 and 7,048.58 is: 10,575.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,898.81 : 19,353.68 = 7,048.58 : x
  2. Step 2: Convert to fraction form
    12,898.81/19,353.68 = 7,048.58/x
  3. Step 3: Cross multiply
    12,898.81x = 19,353.68 × 7,048.58
  4. Step 4: Simplify right side
    12,898.81x = 136,416,027.78
  5. Step 5: Solve for x
    x = 136,416,027.78/12,898.81
  6. Step 6: Final answer
    x = 10,575.86

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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.