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Finding the Fourth Proportional to 15,429.30, 23,111.55 and 12,837.30

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Solution

The fourth proportional to 15,429.30, 23,111.55 and 12,837.30 is: 19,228.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,429.30 : 23,111.55 = 12,837.30 : x
  2. Step 2: Convert to fraction form
    15,429.30/23,111.55 = 12,837.30/x
  3. Step 3: Cross multiply
    15,429.30x = 23,111.55 × 12,837.30
  4. Step 4: Simplify right side
    15,429.30x = 296,689,900.82
  5. Step 5: Solve for x
    x = 296,689,900.82/15,429.30
  6. Step 6: Final answer
    x = 19,228.99

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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.