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Finding the Fourth Proportional to 12,838.32, 19,130.64 and 11,530.20

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Solution

The fourth proportional to 12,838.32, 19,130.64 and 11,530.20 is: 17,181.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,838.32 : 19,130.64 = 11,530.20 : x
  2. Step 2: Convert to fraction form
    12,838.32/19,130.64 = 11,530.20/x
  3. Step 3: Cross multiply
    12,838.32x = 19,130.64 × 11,530.20
  4. Step 4: Simplify right side
    12,838.32x = 220,580,105.33
  5. Step 5: Solve for x
    x = 220,580,105.33/12,838.32
  6. Step 6: Final answer
    x = 17,181.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.