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Finding the Fourth Proportional to 27,444.04, 37,870.79 and 16,114

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Solution

The fourth proportional to 27,444.04, 37,870.79 and 16,114 is: 22,236.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,444.04 : 37,870.79 = 16,114 : x
  2. Step 2: Convert to fraction form
    27,444.04/37,870.79 = 16,114/x
  3. Step 3: Cross multiply
    27,444.04x = 37,870.79 × 16,114
  4. Step 4: Simplify right side
    27,444.04x = 610,249,910.06
  5. Step 5: Solve for x
    x = 610,249,910.06/27,444.04
  6. Step 6: Final answer
    x = 22,236.15

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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.