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Finding the Fourth Proportional to 27,297.66, 37,668.54 and 15,363

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Solution

The fourth proportional to 27,297.66, 37,668.54 and 15,363 is: 21,199.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,297.66 : 37,668.54 = 15,363 : x
  2. Step 2: Convert to fraction form
    27,297.66/37,668.54 = 15,363/x
  3. Step 3: Cross multiply
    27,297.66x = 37,668.54 × 15,363
  4. Step 4: Simplify right side
    27,297.66x = 578,701,780.02
  5. Step 5: Solve for x
    x = 578,701,780.02/27,297.66
  6. Step 6: Final answer
    x = 21,199.68

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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.