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Finding the Fourth Proportional to 27,302.36, 37,678.46 and 15,366.47

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Solution

The fourth proportional to 27,302.36, 37,678.46 and 15,366.47 is: 21,206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,302.36 : 37,678.46 = 15,366.47 : x
  2. Step 2: Convert to fraction form
    27,302.36/37,678.46 = 15,366.47/x
  3. Step 3: Cross multiply
    27,302.36x = 37,678.46 × 15,366.47
  4. Step 4: Simplify right side
    27,302.36x = 578,984,736.84
  5. Step 5: Solve for x
    x = 578,984,736.84/27,302.36
  6. Step 6: Final answer
    x = 21,206.40

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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.