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Finding the Fourth Proportional to 27,835, 38,412.30 and 15,259.84

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Solution

The fourth proportional to 27,835, 38,412.30 and 15,259.84 is: 21,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,835 : 38,412.30 = 15,259.84 : x
  2. Step 2: Convert to fraction form
    27,835/38,412.30 = 15,259.84/x
  3. Step 3: Cross multiply
    27,835x = 38,412.30 × 15,259.84
  4. Step 4: Simplify right side
    27,835x = 586,165,552.03
  5. Step 5: Solve for x
    x = 586,165,552.03/27,835
  6. Step 6: Final answer
    x = 21,058.58

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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.