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Finding the Fourth Proportional to 27,446.28, 37,875.81 and 14,871

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Solution

The fourth proportional to 27,446.28, 37,875.81 and 14,871 is: 20,521.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,446.28 : 37,875.81 = 14,871 : x
  2. Step 2: Convert to fraction form
    27,446.28/37,875.81 = 14,871/x
  3. Step 3: Cross multiply
    27,446.28x = 37,875.81 × 14,871
  4. Step 4: Simplify right side
    27,446.28x = 563,251,170.51
  5. Step 5: Solve for x
    x = 563,251,170.51/27,446.28
  6. Step 6: Final answer
    x = 20,521.95

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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.