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Finding the Fourth Proportional to 12,837.40, 19,256.10 and 7,005.40

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Solution

The fourth proportional to 12,837.40, 19,256.10 and 7,005.40 is: 10,508.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.40 : 19,256.10 = 7,005.40 : x
  2. Step 2: Convert to fraction form
    12,837.40/19,256.10 = 7,005.40/x
  3. Step 3: Cross multiply
    12,837.40x = 19,256.10 × 7,005.40
  4. Step 4: Simplify right side
    12,837.40x = 134,896,682.94
  5. Step 5: Solve for x
    x = 134,896,682.94/12,837.40
  6. Step 6: Final answer
    x = 10,508.10

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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.