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Finding the Fourth Proportional to 27,417.29, 41,130.79 and 9,884.84

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Solution

The fourth proportional to 27,417.29, 41,130.79 and 9,884.84 is: 14,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,417.29 : 41,130.79 = 9,884.84 : x
  2. Step 2: Convert to fraction form
    27,417.29/41,130.79 = 9,884.84/x
  3. Step 3: Cross multiply
    27,417.29x = 41,130.79 × 9,884.84
  4. Step 4: Simplify right side
    27,417.29x = 406,571,047.86
  5. Step 5: Solve for x
    x = 406,571,047.86/27,417.29
  6. Step 6: Final answer
    x = 14,829.00

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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.