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Finding the Fourth Proportional to 27,952.69, 38,575.41 and 15,206.59

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Solution

The fourth proportional to 27,952.69, 38,575.41 and 15,206.59 is: 20,985.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.69 : 38,575.41 = 15,206.59 : x
  2. Step 2: Convert to fraction form
    27,952.69/38,575.41 = 15,206.59/x
  3. Step 3: Cross multiply
    27,952.69x = 38,575.41 × 15,206.59
  4. Step 4: Simplify right side
    27,952.69x = 586,600,347.51
  5. Step 5: Solve for x
    x = 586,600,347.51/27,952.69
  6. Step 6: Final answer
    x = 20,985.47

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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.