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Finding the Fourth Proportional to 19,762.96, 27,272.49 and 10,810.42

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Solution

The fourth proportional to 19,762.96, 27,272.49 and 10,810.42 is: 14,918.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,762.96 : 27,272.49 = 10,810.42 : x
  2. Step 2: Convert to fraction form
    19,762.96/27,272.49 = 10,810.42/x
  3. Step 3: Cross multiply
    19,762.96x = 27,272.49 × 10,810.42
  4. Step 4: Simplify right side
    19,762.96x = 294,827,071.35
  5. Step 5: Solve for x
    x = 294,827,071.35/19,762.96
  6. Step 6: Final answer
    x = 14,918.16

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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.