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Finding the Fourth Proportional to 19,775.63, 27,290.37 and 13,488

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Solution

The fourth proportional to 19,775.63, 27,290.37 and 13,488 is: 18,613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,775.63 : 27,290.37 = 13,488 : x
  2. Step 2: Convert to fraction form
    19,775.63/27,290.37 = 13,488/x
  3. Step 3: Cross multiply
    19,775.63x = 27,290.37 × 13,488
  4. Step 4: Simplify right side
    19,775.63x = 368,092,510.56
  5. Step 5: Solve for x
    x = 368,092,510.56/19,775.63
  6. Step 6: Final answer
    x = 18,613.45

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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.