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Finding the Fourth Proportional to 19,952.83, 27,534.94 and 11,000.10

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Solution

The fourth proportional to 19,952.83, 27,534.94 and 11,000.10 is: 15,180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,952.83 : 27,534.94 = 11,000.10 : x
  2. Step 2: Convert to fraction form
    19,952.83/27,534.94 = 11,000.10/x
  3. Step 3: Cross multiply
    19,952.83x = 27,534.94 × 11,000.10
  4. Step 4: Simplify right side
    19,952.83x = 302,887,169.25
  5. Step 5: Solve for x
    x = 302,887,169.25/19,952.83
  6. Step 6: Final answer
    x = 15,180.16

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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.