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Finding the Fourth Proportional to 27,314.16, 37,686 and 15,376.80

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Solution

The fourth proportional to 27,314.16, 37,686 and 15,376.80 is: 21,215.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,314.16 : 37,686 = 15,376.80 : x
  2. Step 2: Convert to fraction form
    27,314.16/37,686 = 15,376.80/x
  3. Step 3: Cross multiply
    27,314.16x = 37,686 × 15,376.80
  4. Step 4: Simplify right side
    27,314.16x = 579,490,084.80
  5. Step 5: Solve for x
    x = 579,490,084.80/27,314.16
  6. Step 6: Final answer
    x = 21,215.74

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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.