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Finding the Fourth Proportional to 15,165.76, 20,927.28 and 9,117.76

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Solution

The fourth proportional to 15,165.76, 20,927.28 and 9,117.76 is: 12,581.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,165.76 : 20,927.28 = 9,117.76 : x
  2. Step 2: Convert to fraction form
    15,165.76/20,927.28 = 9,117.76/x
  3. Step 3: Cross multiply
    15,165.76x = 20,927.28 × 9,117.76
  4. Step 4: Simplify right side
    15,165.76x = 190,809,916.49
  5. Step 5: Solve for x
    x = 190,809,916.49/15,165.76
  6. Step 6: Final answer
    x = 12,581.63

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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.