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Finding the Fourth Proportional to 12,767.63, 19,135.26 and 5,740.13

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Solution

The fourth proportional to 12,767.63, 19,135.26 and 5,740.13 is: 8,602.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,767.63 : 19,135.26 = 5,740.13 : x
  2. Step 2: Convert to fraction form
    12,767.63/19,135.26 = 5,740.13/x
  3. Step 3: Cross multiply
    12,767.63x = 19,135.26 × 5,740.13
  4. Step 4: Simplify right side
    12,767.63x = 109,838,927.82
  5. Step 5: Solve for x
    x = 109,838,927.82/12,767.63
  6. Step 6: Final answer
    x = 8,602.93

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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.