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Finding the Fourth Proportional to 27,710.20, 41,569.06 and 8,984.13

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Solution

The fourth proportional to 27,710.20, 41,569.06 and 8,984.13 is: 13,477.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,710.20 : 41,569.06 = 8,984.13 : x
  2. Step 2: Convert to fraction form
    27,710.20/41,569.06 = 8,984.13/x
  3. Step 3: Cross multiply
    27,710.20x = 41,569.06 × 8,984.13
  4. Step 4: Simplify right side
    27,710.20x = 373,461,748.61
  5. Step 5: Solve for x
    x = 373,461,748.61/27,710.20
  6. Step 6: Final answer
    x = 13,477.41

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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.