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Finding the Fourth Proportional to 19,577.52, 27,038.80 and 13,278.96

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Solution

The fourth proportional to 19,577.52, 27,038.80 and 13,278.96 is: 18,339.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,577.52 : 27,038.80 = 13,278.96 : x
  2. Step 2: Convert to fraction form
    19,577.52/27,038.80 = 13,278.96/x
  3. Step 3: Cross multiply
    19,577.52x = 27,038.80 × 13,278.96
  4. Step 4: Simplify right side
    19,577.52x = 359,047,143.65
  5. Step 5: Solve for x
    x = 359,047,143.65/19,577.52
  6. Step 6: Final answer
    x = 18,339.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.