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Finding the Fourth Proportional to 27,403.65, 37,816.64 and 15,304

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Solution

The fourth proportional to 27,403.65, 37,816.64 and 15,304 is: 21,119.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,403.65 : 37,816.64 = 15,304 : x
  2. Step 2: Convert to fraction form
    27,403.65/37,816.64 = 15,304/x
  3. Step 3: Cross multiply
    27,403.65x = 37,816.64 × 15,304
  4. Step 4: Simplify right side
    27,403.65x = 578,745,782.04
  5. Step 5: Solve for x
    x = 578,745,782.04/27,403.65
  6. Step 6: Final answer
    x = 21,119.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.