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Finding the Fourth Proportional to 27,262.98, 37,617.18 and 16,078.50

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Solution

The fourth proportional to 27,262.98, 37,617.18 and 16,078.50 is: 22,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,262.98 : 37,617.18 = 16,078.50 : x
  2. Step 2: Convert to fraction form
    27,262.98/37,617.18 = 16,078.50/x
  3. Step 3: Cross multiply
    27,262.98x = 37,617.18 × 16,078.50
  4. Step 4: Simplify right side
    27,262.98x = 604,827,828.63
  5. Step 5: Solve for x
    x = 604,827,828.63/27,262.98
  6. Step 6: Final answer
    x = 22,184.95

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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.