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Finding the Fourth Proportional to 27,872.64, 38,457.45 and 15,773.40

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Solution

The fourth proportional to 27,872.64, 38,457.45 and 15,773.40 is: 21,763.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.64 : 38,457.45 = 15,773.40 : x
  2. Step 2: Convert to fraction form
    27,872.64/38,457.45 = 15,773.40/x
  3. Step 3: Cross multiply
    27,872.64x = 38,457.45 × 15,773.40
  4. Step 4: Simplify right side
    27,872.64x = 606,604,741.83
  5. Step 5: Solve for x
    x = 606,604,741.83/27,872.64
  6. Step 6: Final answer
    x = 21,763.45

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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.