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Finding the Fourth Proportional to 12,913.68, 19,369.58 and 7,349.57

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Solution

The fourth proportional to 12,913.68, 19,369.58 and 7,349.57 is: 11,023.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,913.68 : 19,369.58 = 7,349.57 : x
  2. Step 2: Convert to fraction form
    12,913.68/19,369.58 = 7,349.57/x
  3. Step 3: Cross multiply
    12,913.68x = 19,369.58 × 7,349.57
  4. Step 4: Simplify right side
    12,913.68x = 142,357,950.48
  5. Step 5: Solve for x
    x = 142,357,950.48/12,913.68
  6. Step 6: Final answer
    x = 11,023.81

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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.