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Finding the Fourth Proportional to 27,807.71, 38,365.25 and 15,862.64

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Solution

The fourth proportional to 27,807.71, 38,365.25 and 15,862.64 is: 21,885.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,807.71 : 38,365.25 = 15,862.64 : x
  2. Step 2: Convert to fraction form
    27,807.71/38,365.25 = 15,862.64/x
  3. Step 3: Cross multiply
    27,807.71x = 38,365.25 × 15,862.64
  4. Step 4: Simplify right side
    27,807.71x = 608,573,878.12
  5. Step 5: Solve for x
    x = 608,573,878.12/27,807.71
  6. Step 6: Final answer
    x = 21,885.08

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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.