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Finding the Fourth Proportional to 27,417.84, 41,148.40 and 14,090.30

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Solution

The fourth proportional to 27,417.84, 41,148.40 and 14,090.30 is: 21,146.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417.84 : 41,148.40 = 14,090.30 : x
  2. Step 2: Convert to fraction form
    27,417.84/41,148.40 = 14,090.30/x
  3. Step 3: Cross multiply
    27,417.84x = 41,148.40 × 14,090.30
  4. Step 4: Simplify right side
    27,417.84x = 579,793,300.52
  5. Step 5: Solve for x
    x = 579,793,300.52/27,417.84
  6. Step 6: Final answer
    x = 21,146.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.