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Finding the Fourth Proportional to 27,110.68, 37,412.14 and 15,782.20

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Solution

The fourth proportional to 27,110.68, 37,412.14 and 15,782.20 is: 21,779.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,110.68 : 37,412.14 = 15,782.20 : x
  2. Step 2: Convert to fraction form
    27,110.68/37,412.14 = 15,782.20/x
  3. Step 3: Cross multiply
    27,110.68x = 37,412.14 × 15,782.20
  4. Step 4: Simplify right side
    27,110.68x = 590,445,875.91
  5. Step 5: Solve for x
    x = 590,445,875.91/27,110.68
  6. Step 6: Final answer
    x = 21,779.09

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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.