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Finding the Fourth Proportional to 19,700.52, 27,185.93 and 11,636.80

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Solution

The fourth proportional to 19,700.52, 27,185.93 and 11,636.80 is: 16,058.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,700.52 : 27,185.93 = 11,636.80 : x
  2. Step 2: Convert to fraction form
    19,700.52/27,185.93 = 11,636.80/x
  3. Step 3: Cross multiply
    19,700.52x = 27,185.93 × 11,636.80
  4. Step 4: Simplify right side
    19,700.52x = 316,357,147.71
  5. Step 5: Solve for x
    x = 316,357,147.71/19,700.52
  6. Step 6: Final answer
    x = 16,058.32

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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.