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Finding the Fourth Proportional to 27,522.36, 37,981.08 and 14,947.20

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Solution

The fourth proportional to 27,522.36, 37,981.08 and 14,947.20 is: 20,627.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,522.36 : 37,981.08 = 14,947.20 : x
  2. Step 2: Convert to fraction form
    27,522.36/37,981.08 = 14,947.20/x
  3. Step 3: Cross multiply
    27,522.36x = 37,981.08 × 14,947.20
  4. Step 4: Simplify right side
    27,522.36x = 567,710,798.98
  5. Step 5: Solve for x
    x = 567,710,798.98/27,522.36
  6. Step 6: Final answer
    x = 20,627.26

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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.