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Finding the Fourth Proportional to 27,563, 38,036.64 and 14,987.72

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Solution

The fourth proportional to 27,563, 38,036.64 and 14,987.72 is: 20,682.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,563 : 38,036.64 = 14,987.72 : x
  2. Step 2: Convert to fraction form
    27,563/38,036.64 = 14,987.72/x
  3. Step 3: Cross multiply
    27,563x = 38,036.64 × 14,987.72
  4. Step 4: Simplify right side
    27,563x = 570,082,510.06
  5. Step 5: Solve for x
    x = 570,082,510.06/27,563
  6. Step 6: Final answer
    x = 20,682.89

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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.