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Finding the Fourth Proportional to 27,547.16, 38,016.07 and 15,282.88

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Solution

The fourth proportional to 27,547.16, 38,016.07 and 15,282.88 is: 21,090.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,547.16 : 38,016.07 = 15,282.88 : x
  2. Step 2: Convert to fraction form
    27,547.16/38,016.07 = 15,282.88/x
  3. Step 3: Cross multiply
    27,547.16x = 38,016.07 × 15,282.88
  4. Step 4: Simplify right side
    27,547.16x = 580,994,902.63
  5. Step 5: Solve for x
    x = 580,994,902.63/27,547.16
  6. Step 6: Final answer
    x = 21,090.92

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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.