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Finding the Fourth Proportional to 27,809.34, 38,376.68 and 15,062.24

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Solution

The fourth proportional to 27,809.34, 38,376.68 and 15,062.24 is: 20,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,809.34 : 38,376.68 = 15,062.24 : x
  2. Step 2: Convert to fraction form
    27,809.34/38,376.68 = 15,062.24/x
  3. Step 3: Cross multiply
    27,809.34x = 38,376.68 × 15,062.24
  4. Step 4: Simplify right side
    27,809.34x = 578,038,497.37
  5. Step 5: Solve for x
    x = 578,038,497.37/27,809.34
  6. Step 6: Final answer
    x = 20,785.77

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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.