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Finding the Fourth Proportional to 27,373.92, 37,776 and 14,798.64

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Solution

The fourth proportional to 27,373.92, 37,776 and 14,798.64 is: 20,422.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,373.92 : 37,776 = 14,798.64 : x
  2. Step 2: Convert to fraction form
    27,373.92/37,776 = 14,798.64/x
  3. Step 3: Cross multiply
    27,373.92x = 37,776 × 14,798.64
  4. Step 4: Simplify right side
    27,373.92x = 559,033,424.64
  5. Step 5: Solve for x
    x = 559,033,424.64/27,373.92
  6. Step 6: Final answer
    x = 20,422.12

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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.